Wednesday, March 25, 2020
How Adaptive Learning Tutoring Is Used By Children
How Adaptive Learning Tutoring Is Used By ChildrenAdoptive or adaptive learning is the process of the student taking on a new curriculum with ease, while learning to be comfortable in doing so. With this in mind, children who are learning English are giving the use of computer a try as well. It is actually a great teaching tool to develop a child's self-confidence and academic skills, just by helping him or her to use the computer.Computer use helps the students learn better through a variety of tools. In this case, the students learn to be more fluid while they are using the computer, and can do so for a longer period of time. Hence, the computer has provided many chances for a child to learn better.For the kids who are having issues in learning, computers may not work for them, especially those that are the low achievers. By choosing to use the computer, they are introducing themselves to the world of learning, thus making them learn more effectively. The same thing is being done f or those who are busy parents but are unable to have their children do the same. By using a computer, you are more likely to see an increase in your child's ability to complete tasks.They could become very tech savvy in this kind of environment. They will feel more at home when it comes to computers and may be more apt to keep it close to their heart when the time comes for them to do something else. Technology is often what makes a child's life more convenient, and the adoption of technology has made them adapt to being more comfortable in the present environment.This is probably the most important thing for an educational setting. You may choose the computer system to accommodate children who are over 16 years old, but it is definitely not for those who are younger. Not only will the children learn to use the computer properly, they will learn how to use it without any distraction. When it comes to age, an adult may still get frustrated and need some help and guidance when it come s to the computer.However, if you look at the bigger picture, it is very difficult to find a computer tutor that would be capable of doing well the tasks of a baby. But it is a good way to expose the kids to the world of technology, and at the same time, they can know about it much better. Moreover, it is a great learning tool to enable them to utilize technology in a safe manner.Parents would do well to opt for it, as it is the only way to ensure that their children are not taken advantage of in a way that they are not having to complete projects. Adoptive or adaptive learning also entails having a firm hand in the child's education, in spite of his or her young age.
Friday, March 6, 2020
Adjectives to describe Feelings in English - Improve your English Skills
Adjectives to describe Feelings in English - Improve your English Skills Feelings and emotions are part of all of our lives. How we react to situations and events is demonstrated through our feelings. How can we describe feelings in English? Here are some English adjectives to describe feelings. English Adjectives to Describe Feelings The following are is a list of adjectives to describe feelings and some emotions that we experience in our everyday lives. I have given a meaning and a synonymous word with a similar meaning that you can also use.RELAXEDMeaning: this describes the feeling when you have nothing to do or do not want to do anything but sit lie back and rest.ex. I decided to have a lazy day. I made a pot of hot coffee, I got my book I sat on the sofa put my feet up and relaxed. An alternative word is LAID BACK.ex. He is a very laid back (relaxed) person he never gets stressed.NERVOUSThis is used to describe a situation when we cannot relax we have something on our mind.ex. We are thinking of work or problems with the family. I was very nervous all day. My son was taking an important examination and I was not sure if he had studied hard enough beforehand (in preparation).An alternative word is ANXIOUS.ex. He was very anxious as he waited for the results of his examination. Adjectives to Describe Feelings - Infographic Enjoyed this infographic? Hereâs what you can do next: PLEASEDWe use this to describe when we are happy with something or somebody or in the way something has turned out (occurred).ex. The results of the exams were published recently. My son passed the examination with honours which meant he could get his place in college. I was pleased with the result. An alternative word would be CONTENTED.ex. The results were good I could relax I was very contented at last.EMBARRASSEDThis is used to describe how we feel when we do something stupid or silly and we look a little foolish.ex. I went into the hotel and when it was time to leave I tried to open the security door by mistake. The alarm sounded and everybody was looking at me. I was very embarrassed.An alternative word to use is MORTIFIED.ex. I was mortified when I looked in the mirror and realised I had forgotten to shave. I looked like a tramp!STRESSEDWhen we are working hard or anxious about some family or personal matters we become stressed.ex. I had been working long hours for sev eral months without a break. I needed a holiday I was completely stressed. An alternative word is WORRIED.ex. I was worried for weeks. I had not been paid at the normal time and my rent was due. How to Describe Feelings in English CALMthis word is used to describe a person or place or situation which is peaceful and quiet without stress.ex. Everyone around him was stressed about the test. He was very confident that he had done his work. He had slept well and felt confident. He was calm and relaxed. An alternative word is SERENE.ex. The hotel was situated in the perfect place. Near the sea surrounded my beautiful gardens with no noise. It was totally serene.FRUSTRATEDWhen something does not work properly or we can not figure out a problem quickly enough we get frustrated or annoyed.ex. I like crossword puzzles but sometimes I get stuck (cannot work out the answer) and get frustrated until the answer comes to me (I think about it). An alternative word is BAFFLED.ex. I was baffled by the problem for days. I thought the answer would be easy to find. Eventually I managed to work it out but it was frustrating.Now you know 14 adjectives to describe feelings in English. And as always dont forget to practise new words in your English conversation, this way you will easily remember them.CURIOUSMeaning: to be keen to know what is happening or to get answers to questions we have about events taking placeex. He was very curious to know what was happening in the house on the other side of the street. Police had been coming and going all morning and a few cameramen were their also. He decided to go and ask them what was going on. Adjectives for Feelings - Infographic SCAREDMeaning: to feel frightened, to be alarmed, to panicex. The lights went out in the street and it was completely dark. She was very scared as she still had approx. 2km to walk alone before she arrived home.JEALOUSMeaning: to feel unhappy because someone has got something that you wantex. She was very jealous of her friend. Her friend had a new job a better car and now had just announced her engagement.We can also use ENVY (ENVIOUS)GREEN WITH ENVY is a popular idiom.DISAPPOINTEDMeaning: to feel unhappy when everything does not go to plan or something you expect to happen does not occurex. He was extremely disappointed when his did not arrive for dinner. He had not met him for some months and had cooked a special meal.CONFUSEDMeaning: to feel uncertain when no one knows what is happening or going on.ex. Everyone was extremely confused in the airport. The electronic notice board was blank and the gate numbers were no longer visible. Everybody was trying to find out which direct ion they should take.PROUDMeaning: to feel happy when you have or someone close to you has achieved something specialex. His son was the outstanding player in the team. He scored the first goal and made some outstanding tackles. He was very proud when he was presented with the âman of the matchâ award.
Taking Notes With Technology
Taking Notes With Technology Image via pexels.com Websites At one point or another in your college career, you will encounter Google Docs and love its convenience when it comes to sharing and taking notes. Google Docs allows you to take notes just as you would on any other word document. With a few simple clicks, you are able to share the document to classmates for further studying. Google Docs also allows for collaborative note-taking make the document open for viewing and editing for your fellow classmates. Your classmates can directly add to your notes, filling in any information you may have missed in lecture, or offering their own thoughts on the lectures content. One of the most convenient aspects of Google Docs is that you can take your notes with you wherever you go, without having to carry around your laptop or tablet. Google Docs has an app for smartphones, allowing you to view your notes on your phone and edit them whenever needed. Similar to the sharing qualities that Google Docs has, the website OneClass acts as one large Dropbox for lecture notes, instructional videos, and exam study guides. The site lets you upload your own notes and download those of other users so that you can compare your notes to others and improve the quality of your own notes. If you have the software of Microsoft Office on your laptop and/or tablet, Microsoft OneNote is another option for taking notes with technology and keeping them organized in one place. Just like any word-processing app, you can type notes just as you would on a word document, but you can also incorporate multimedia into your note-taking on OneNote. OneNote allows you to easily incorporate clippings from the internet, or diagrams drawn with a touch screen (if using a tablet), into your notes taken on the software. With OneNote, you can make countless digital notebooks for different courses and carry them around in a single technological device without worrying about carrying specific folders/notebooks around campus. Before purchasing Microsoft Office software, make sure you check if your university has free Microsoft Office for enrolled students, or if the seller you are buying from has a discount for college students.
Thursday, March 5, 2020
Teaching English with the Cultural Ambassador Program in Spain
Teaching English with the Cultural Ambassador Program in Spain As you start searching for ESL jobs, you may notice that itâs tough to land a teaching gig in Western Europe if you donât have a European Union passport. But if youâve been dreaming of tapas, flamenco dancing, and vibrant fiestas in Spain, you could still be in luck. We want to tell you about an ESL teaching program in Spain called theCultural Ambassadors Program. Run by the Spanish Ministry of Education, Culture and Sport, this initiative hires up to 2,500 American and Canadian citizens to teach English in Spanish primary and secondary schools. During the program, youâll work as an auxiliare de conversaciónâ"or a conversation assistantâ"meaning youâre an assistant language teacher. Itâs a great introductory job to ESL teaching if youâre recently TEFL certified and looking for your first job teaching English in Western Europe. To learn everything you need to know about becoming a Cultural Ambassador in Spain, just keep scrolling down the page. All the exciting details await you! How Long is the Cultural Ambassador Program? In most Spanish cities, the Cultural Ambassador Program runs from October until May 31. Madrid is a notable exception, as their program spans October 1 to June 30. Certain schools will extend the offer to renew your contract for the following year. So, if youâre having a blast teaching English to Spanish kids, you might not have to say goodbye in May or June! Who is Eligible for the Cultural Ambassador Program? To be eligible for the Cultural Ambassador Program in Spain, you need to meet the following requirements: Canadian or American citizenship and a valid passport for that country. Speak English or French as your first language. Education requirements include: having a BA or BS degree by the end of the academic year prior to the programâs start date, be enrolled in a university program as a junior or senior, or be a university graduate. Basic Spanish language skills. (Applicants should submit any relevant documents as proof, such as transcripts showing Spanish language credits.) Applicants must be between 21 and 60 years of age. If you wish to teach in Madrid, you must be 35 or younger. You must be deemed physically and psychologically healthy. (A signed letter from a physician is required.) You must pass a background check. The Cultural Ambassador Programâs official application guidelines also state that you should be âopen-minded and have a flexible attitude,â as youâll be working as an assistant in a classroom setting with children. Do Applicants Need a TEFL/TESOL certificate? While the short answer is no, youâre going to want to hear the long answer. Spainâs Cultural Ambassador Program doesnât formally require that you have a TEFL/TESOL certificate, but being certified could give your application an extra advantage. In recent years, the program has become increasingly competitive, so applicants with TEFL/TESOL certification are likely to be favored over those without. After all, the certificate shows your commitment to learning and mastering the best methods for teaching English. By completing your TEFL/TESOL training, youâll also find it easier to teach English to your ESL students in Spain. Thus, the experience will be more rewarding and fun for everyone involved. Sign up to Teach Away today for access to the latest teaching jobs around the world. Applying for the Cultural Ambassador Program Applications for Spainâs Cultural Ambassador Program typically open in mid-January and close in mid-April. However, we strongly recommend double-checking with theirofficial website! The Cultural Ambassador Program uses an application portal called PROFEX. Using PROFEX, you create a username and passport, input manually your passport information, and complete the resume section. Afterward, you must attach the following documents: A scanned copy of your Canadian or American passportâs main page. Your university transcript or copies of your degree(s) and/or diploma(s). A signed 250 to 300-word statement of purpose or cover letter, written in English or French, that details your reasons for wishing to participate in the program. A signed 250-word reference letter from a professor or employer. If you also hold an EU passport, the program requests that your doctor submit a signed letter that attests to your physical and mental health. What is the Salary for Cultural Ambassadors? Cultural Ambassadors receive a modest monthly salary of â¬700 ($796 USD) in most Spanish cities. However, if you are working in Madrid, you may earn up to â¬1,000 ($1137 USD) per month. They also receive basic medical insurance, offered through Spainâs national healthcare system. While many Cultural Ambassadors live comfortably on their salaries, others opt to supplement their incomes by offering childcare services or private tutoring in English. The choice is ultimately yours! Itâs also prudent to arrive in Spain with a few thousand dollars in savings. Does the Cultural Ambassador Program Cover Flights and Housing? No, successful applicants are responsible for covering the cost of their flights to Spain, along with paying the rental costs on accommodations. Cultural Ambassadors are also tasked with finding their own housing. If you canât find accommodations prior to departing for Spain, we recommend staying at a hostel or with friends until you can find more permanent lodgings. Do I Have Other Options for Teaching English in Spain? Yes! Licensed teachers can teach English in private international schools, providing they have 2-3 years of teaching experience. Individuals without prior teaching experience can apply to paid volunteer positions in classrooms. Otherwise, Spanish parents often hire private English teachers for their children and numerous cities in Spain offer English language summer camps, which hire teachers. Regardless of the position you pursue, we strongly recommend earning your TEFL certificate before applying to teach English in Spain. Spain hires ESL teachers at various points throughout the year. The two peak months for hiring are September and January. Meanwhile, the English language summer camps begin to employ instructors in the springtime. Having a European Union passport makes it much simpler to find a teaching job in Spain. However, Canadians and other non-Europeans (with the exception of Americans) are sometimes successful at procuring working holiday visas. In rare instances, an international school may sponsor a work visa for non-EU teachers.
Exciting announcement Teach Away job fairs are back!
Exciting announcement Teach Away job fairs are back! On the hunt for your dream teaching jobright now? Weâve got some exciting news to share with you! Weâre thrilled to announce that we are officially teaming up with International Schools Services (ISS), once again, to host three international teacher job fairs in late 2017 and early 2018. With so many of our teachers walking away with their ideal job at the fairs last year, we knew we had to do it all over again. This time around, the fairs are taking place in the following locations, on the following dates: Atlanta, USA (December 3 - 5, 2017) Bangkok, Thailand (January 5 - 8 2018) New York, USA (February 8 - 11 2018 By attending the fairs, you could have the unique opportunity to: Meet face to face with hundreds of school heads Interview for sought-after teaching positions at top international schools worldwide Get hired by a top international school! A huge range of job opportunities will be available for fair attendees, including teaching positions across all subjects and grade levels. To give you an idea of the types of vacancies you can expect to interview for at the fairs, hereâs a quick list: Early Childhood Teachers Elementary Teachers Math Teachers Science Teachers English Teachers ESL Teachers Counselors Librarians Specialized subject teachers (Drama, Dance, Art, Languages, Music and more!) To apply to attend, you must meet the following criteria: Hold a valid teaching license Have a Bachelorâs degree in a relevant subject to the positions you wish to interview for Have at least two years of full-time teaching experience Spots are limited for these invite-only fairs, so apply to attend today to avoid missing out!
Mid-Winter Tutoring Help Available
Mid-Winter Tutoring Help Available Perhaps youre enjoying your midwinter recess at the slopes of your favorite ski resort this February 2015. If youre not so lucky then youre might busy with home work, test preparation or the upcoming finals. In some schools the spring term has already begun and youre head-on into the new term. If that is your situation, might I remind you that our professional calculus, science and psychology tutors stand ready to help you. If youre a parent and noticed your school-aged son has fallen behind in reading or language arts, then check out our English tutors. Or perhaps your daughter doesnt understand how to solve the quadratic equation. Be sure to check out our algebra tutors. Whatever you educational situation might be we at TutorZ wish you highest academic success this February 2015. Best Mid-Winter Tutors Bradley McCoy AA D. Psychology, Biology, and Sociology in Pasadena, MD. I am here to help forward the education of anyone in need of help, and honestly earn some extra money while I continue my education in psychology. Catherine Psychology, Dyslexia, English in Honolulu, HI. I have extensive experience in working with gifted and talented, also difficult-to-manage children and adolescents sometimes the more onerous the better! Mr. Kenneth O. College Physics, Math, Languages in Los Angeles, CA. I am Kenneth Osborne II and I specialized in math and college physics tutoring. Dr. Zareh D. Math and Physics in Fresno, CA. Todays children struggling in math, only need some help to resolve how or why what they are doing makes sense. I feel I may be able to help in this regard. Best Value Guarantee! Easy match with qualified and trusted tutors at no charge. Find me a Tutor Students Sleeping Right Are More Alert, More Athletic, And More Beautiful The word gymnasium comes from the Greek word gymnos, which literally means naked. Athletes competed nude, a practice said to encourage aesthetic appreciation of the male body and a tribute to the gods. continue reading ? Gymnasium is a Greek Word Which Means Naked The TV series Breaking Bad showed a desperate and ill high school chemistry teacher turning to manufacturing crystal meth as a means to supplement health care costs and provide for his family. It was such a crazy premise that it worked very well. The show was a hit and more students are interested in chemistry than ever before. continue reading ? Five Educational Facts About Valentine`s Day Share these five facts with your loved one(s) tonight over the dinner table and be sure to receive additional points from him or her. Why? By telling them some anecdotes about Valentines day you lets them know how prepared youre for this event and thus care about him or her. continue reading ? Did these samples catch your interest? Receive new articles from the TutorZ blog. Its free. Subscribe to Blog How to be a Good Tutor Tip #1 Be Fun no body likes a strict tutor. Tip #2 Give Them Breaks no longer than 5 minutes. Tip #3 Dont make them do work thats too hard. Tip #4 Be fair. Dont yell at them if they make a mistake. Watch this Video ? What a Great Service âWhat a great service. I know a lot of parents who do not know about you but would like to. I will spread the word for you.â Rosalyn, Potsdam, NY. âA Child Learning to Walk Falls a Thousand Timesâ Quote by Indian Guru As a child learning to walk falls a thousand times before she can stand, and after that falls again and again until at last she can walk, so are we as little children before God. Mid-Winter Tutoring Help Available Perhaps youre enjoying your midwinter recess at the slopes of your favorite ski resort this February 2015. If youre not so lucky then youre might busy with home work, test preparation or the upcoming finals. In some schools the spring term has already begun and youre head-on into the new term. If that is your situation, might I remind you that our professional calculus, science and psychology tutors stand ready to help you. If youre a parent and noticed your school-aged son has fallen behind in reading or language arts, then check out our English tutors. Or perhaps your daughter doesnt understand how to solve the quadratic equation. Be sure to check out our algebra tutors. Whatever you educational situation might be we at TutorZ wish you highest academic success this February 2015. Best Mid-Winter Tutors Bradley McCoy AA D. Psychology, Biology, and Sociology in Pasadena, MD. I am here to help forward the education of anyone in need of help, and honestly earn some extra money while I continue my education in psychology. Catherine Psychology, Dyslexia, English in Honolulu, HI. I have extensive experience in working with gifted and talented, also difficult-to-manage children and adolescents sometimes the more onerous the better! Mr. Kenneth O. College Physics, Math, Languages in Los Angeles, CA. I am Kenneth Osborne II and I specialized in math and college physics tutoring. Dr. Zareh D. Math and Physics in Fresno, CA. Todays children struggling in math, only need some help to resolve how or why what they are doing makes sense. I feel I may be able to help in this regard. Best Value Guarantee! Easy match with qualified and trusted tutors at no charge. Find me a Tutor Students Sleeping Right Are More Alert, More Athletic, And More Beautiful The word gymnasium comes from the Greek word gymnos, which literally means naked. Athletes competed nude, a practice said to encourage aesthetic appreciation of the male body and a tribute to the gods. continue reading ? Gymnasium is a Greek Word Which Means Naked The TV series Breaking Bad showed a desperate and ill high school chemistry teacher turning to manufacturing crystal meth as a means to supplement health care costs and provide for his family. It was such a crazy premise that it worked very well. The show was a hit and more students are interested in chemistry than ever before. continue reading ? Five Educational Facts About Valentine`s Day Share these five facts with your loved one(s) tonight over the dinner table and be sure to receive additional points from him or her. Why? By telling them some anecdotes about Valentines day you lets them know how prepared youre for this event and thus care about him or her. continue reading ? Did these samples catch your interest? Receive new articles from the TutorZ blog. Its free. Subscribe to Blog How to be a Good Tutor Tip #1 Be Fun no body likes a strict tutor. Tip #2 Give Them Breaks no longer than 5 minutes. Tip #3 Dont make them do work thats too hard. Tip #4 Be fair. Dont yell at them if they make a mistake. Watch this Video ? What a Great Service âWhat a great service. I know a lot of parents who do not know about you but would like to. I will spread the word for you.â Rosalyn, Potsdam, NY. âA Child Learning to Walk Falls a Thousand Timesâ Quote by Indian Guru As a child learning to walk falls a thousand times before she can stand, and after that falls again and again until at last she can walk, so are we as little children before God.
Definition of Mass in Chemistry
Definition of Mass in ChemistryWhy is it important to know how to define mass in chemistry? Well, because there are different things that are related to it.For example, you may know that the mass of a substance is equal to the weight of that substance multiplied by the volume. But do you know why that is? That is because the mass of an object is determined by the amount of mass it has divided by the weight. So that is the reason why a person cannot measure or weigh a lot of different substances at once if you want to estimate the mass of a substance or idea that you may have.However, once you find the formula for this equation, you can use that in your equation to define the mass of the substance or idea. It is just like how a person can just say something like 'that object weighs 10 grams' and it would be correct. In this case, that would mean that the object weighed in the certain number of grams.Now, what if there were two objects that weighed in the same way, but one was heavier? Well, there would be something like this. The one that weighed more would be heavier and the one that weighed less would be lighter. The same thing applies to the mass of a substance, it would just mean that the mass is the number of grams multiplied by the volume.With this, you can now calculate or define the mass of a substance without having to determine its mass and also what quantity it contains. This is the main purpose of knowing how to define mass in chemistry. It is important in science because there are different elements and compounds that need to be measured to determine the mass of these things. But you cannot determine the mass by itself.In physics, mass is important when studying different types of forces. For example, if you look at a bottle of soda, you can see how the mass of the bottle is dependent on the density of the soda, which is in turn dependent on the size of the bottle.This equation is called the Dalton Equation and this term uses that equation in determ ining the mass of a substance or idea. Now, this equation can also be used in chemistry. You may already know how to use it in studying various metals and different substances, but once you find the formula, you can now use it in your equations to define the mass of a substance.
The Role of Gas Laws in Our Society
The Role of Gas Laws in Our SocietyOne of the aspects that fascinates me about the American Tradition is the idea that Gas Laws exist as a way of ensuring public safety. There are, however, two types of gas laws, namely LABELS or REGULATIONS. One of the reason's for putting regulations in place is to ensure the security of the population. The other reason is that most people who own and operate cars, trucks, buses, trains, etc. have vested interests in maintaining such laws in place.Even with these scientific and technological advancements, the most significant safety problem has been ignored. This is the question of: Is the general public being adequately protected from the risks that are associated with the accidental leakage of harmful gasses? In other words, there has been no attempt to determine whether the laws are effective. It is the job of the regulatory authorities to conduct a scientific and factual study on the system, its cost effectiveness, effectiveness and the possibl e risks that may arise from its implementation. The investigations on this question have not been conducted.What happens in the absence of gas laws is that the actual effectiveness of the gas alarm system is not tested. Rather, the state must operate it in order to prove to the community that it is a good idea. After all, this system has to pass all the scientific and technological tests conducted before deployment.If there are proper checks and balances in place, then there would be less risk of any form of leakage or rupture being the cause of a fatal accident. Again, the very purpose of the gas laws is to put safeguards in place that keep the general public safe. There is a growing feeling that the real purpose of the law is to make people comfortable with the government and their leaders and even to encourage them to behave themselves.If someone is discovered to be working near the vents, then this person should be given a reasonable period of time to evacuate the area. This wil l deter other persons who may think they can take pleasure in playing a game of hide and seek with the unfortunate victim. The fact that there are now laws is a commendable and reassuring development, but, without proper testing, we are losing our moral bearings, our intellectual development and probably our soul.A little over a year ago, I wrote an article which indicated how we had changed the definition of decency and morality in society, with the government inspectors as the judges of what was decent and what was not. Now, I fear that we have stopped caring about what the American public thinks and we have adopted a bureaucratic mindset where the Government inspectors decide what is just, moral and sensible. This will eventually create a serious degradation of the integrity of the people, not only in our government but in the entire nation.Our gas laws are not serving our society and our nation as they should. The only way that we can restore the reputation of our society and ou r nation is by bringing to bear, scientific and technological expertise in making sure that the legislation is fully implemented and that it has the intended effect. Without such expert advice, the protection of public health is threatened and therefore, we are on a course to failing at the role of a good citizen, instead of a good citizen.
Online Trigonometry Help
Online Trigonometry Help The word Trigonometry comes from a Greek word and the meaning of it is triangle measure. Like the word means, Trigonometry is the branch of Mathematics which involves the study of the measure of sides and angles of a triangle using 6 important trigonometric functions: sine, cosine, tangent, cosecant, secant and cotangent of a given angle. The functions cosecant, secant and cotangent are the reciprocals of the functions sine, cosine and tangent respectively. These functions are very useful in evaluating the lengths of the sides and measure of angles in a triangle and other geometric structures. Example 1: Given the angle x in the first quadrant. If sin(x) = 2/5, then what is the value of the trigonometric function, cos(x)? Given: sin(x) = 2/5 According to the trigonometric identity: sin2(x) + cos2(x) = 1. This gives: cos2(x) = 1 sin2(x) Applying the above formula we get - cos2(x) = 1 (2/5)2 This gives: cos2(x) = 1 4/5 Taking the common denominator we get: cos2(x) = (5 4)/5 = 1/5 Hence, cos(x) = (1/5) = 1/5 Therefore the value of cos(x) = 1/5 Example 2: Given the angle x in the first quadrant and sin(x) = 2/5 and cos(x) = 1/5. What are the values of the trigonometric functions, tan(x), cosec(x), sec(x) and cot(x)? Given: sin(x) = 2/5 and cos(x) = 1/5 tan(x) can be calculated using the formula -tan(x) = sin(x)/ cos(x) This gives: tan(x) = (2/5)/ (1/5) - tan(x) = 2/1 Now, cosec(x) = 1/sin(x) = 1/ (2/5) - cosec(x) = 5/2 Similarly, sec(x) = 1/cos(x) = 1/ (1/5) - sec(x) = 5/1 And, cot(x) = 1/tan(x) = 1/ (2/1) - cot(x) = 1/2
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