Trigonometric Identity Involving Sine And Cosine
Trigonometric Identity Involving Sine And Cosine
Trigonometric Identities: The trigonometric identities are equalities which are true for every value appearing on both sides of the equal sign An equation involving trigonometric ratios of an angle is called a trigonometric identity, if it is true for all values of the angle(s) involved. These identities are useful whenever expressions involving trigonometric ratios are to be simplified.
Trigonometric Identity Involving Sine and Cosine: The identity can be stated as
Let us try to prove these identities and use it further to simplify the various trigonometric expressions
In Proof ForThe Identity: Dividing each term of (1) by i.e., i.e., i.e., This is true for all A such that |  |
Illustration: Simplify the expression:
Solution: We will simplify the expression using trigonometric Identites
=
Find the value of | |||
| Right Option : B | |||
| View Explanation | |||
Find the value of the expression | |||
| Right Option : D | |||
| View Explanation | |||
The value of the following expression is | |||
| Right Option : D | |||
| View Explanation | |||
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