How Do You Find The Terminal Point On The Unit Circle Class 11 Maths ...

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AnswerQuestion Answers for Class 12Class 12 BiologyClass 12 ChemistryClass 12 EnglishClass 12 MathsClass 12 PhysicsClass 12 Social ScienceClass 12 Business StudiesClass 12 EconomicsQuestion Answers for Class 11Class 11 EconomicsClass 11 Computer ScienceClass 11 BiologyClass 11 ChemistryClass 11 EnglishClass 11 MathsClass 11 PhysicsClass 11 Social ScienceClass 11 AccountancyClass 11 Business StudiesQuestion Answers for Class 10Class 10 ScienceClass 10 EnglishClass 10 MathsClass 10 Social ScienceClass 10 General KnowledgeQuestion Answers for Class 9Class 9 General KnowledgeClass 9 ScienceClass 9 EnglishClass 9 MathsClass 9 Social ScienceQuestion Answers for Class 8Class 8 ScienceClass 8 EnglishClass 8 MathsClass 8 Social ScienceQuestion Answers for Class 7Class 7 ScienceClass 7 EnglishClass 7 MathsClass 7 Social ScienceQuestion Answers for Class 6Class 6 ScienceClass 6 EnglishClass 6 MathsClass 6 Social ScienceQuestion Answers for Class 5Class 5 ScienceClass 5 EnglishClass 5 MathsClass 5 Social ScienceQuestion Answers for Class 4Class 4 ScienceClass 4 EnglishClass 4 MathsHow do you find the terminal point on the unit circle determined by $ t = \dfrac{{5\pi}}{{12}} $ ?AnswerVerified560.1k+ viewsHint:In this question we need to find the terminal point on the unit circle determined by $ t =\dfrac{{5\pi }}{{12}} $ . Here, we will use the cosine as $ x $ -coordinate and the sine as $ y $ -coordinate are mostly acute-angle measures. Then, we will convert the radian into degrees. At last, we will find the values and substitute it, which is the required coordinates.Complete step-by-step solution:Now, we need to find the terminal point on the unit circle determined by $ t = \dfrac{{5\pi }}{{12}} $ .Generally, the terminal point on the unit circle has the cosine as $ x $ -coordinate and the sine as $ y $ - coordinate are mostly acute-angle measures.Here $ t = \dfrac{{5\pi }}{{12}} $ , therefore for the $ x $ -coordinate, $ \cos t = \dfrac{{5\pi }}{{12}} $ Then, for the $ y $ -coordinate, $ \sin t = \dfrac{{5\pi }}{{12}} $ To convert radians into degrees, multiply by $ 180\pi $ , since a full circle is $ 360^\circ $ .Therefore we have, $ \cos t = \cos 75 $ and $ \sin t = \sin 75 $ .Then, $ \cos 75 = 0.258 $ And, $ \sin 75 = 0.965 $ $ \Rightarrow \left( {\cos \dfrac{{5\pi }}{{12}},\sin \dfrac{{5\pi }}{{12}}} \right) = \left( {0.258,0.965}\right) $ Hence, the terminal point on the unit circle determined by $ t = \dfrac{{5\pi }}{{12}} $ is $ \left({0.258,0.965} \right) $ .Note: In this question, it is important to note that the unit circle is a circle with its centre at the origin of the coordinate plane and with a radius of $ 1\,unit $ . If $ \left( {x,y} \right) $ are the coordinates of a point on the circle, then for the right-triangle the Pythagorean theorem for unit circle is $ {x^2} + {y^2} = 1 $ . The terminal point is the ray that has been rotated around the origin to form an angle with the stationary ray that is the initial side of the angle. They are sine and cosine values of the most common acute-angle measures. However be careful when converting the radian into degree.Recently Updated PagesMaster Class 11 Business Studies: Engaging Questions & Answers for SuccessMaster Class 11 Economics: Engaging Questions & Answers for SuccessMaster Class 11 Computer Science: Engaging Questions & Answers for SuccessMaster Class 11 English: Engaging Questions & Answers for SuccessMaster Class 11 Maths: Engaging Questions & Answers for SuccessMaster Class 11 Biology: Engaging Questions & Answers for SuccessMaster Class 11 Business Studies: Engaging Questions & Answers for SuccessMaster Class 11 Economics: Engaging Questions & Answers for SuccessMaster Class 11 Computer Science: Engaging Questions & Answers for SuccessMaster Class 11 English: Engaging Questions & Answers for SuccessMaster Class 11 Maths: Engaging Questions & Answers for SuccessMaster Class 11 Biology: Engaging Questions & Answers for Success

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