Trigonometric Identity Involving Cosecant And Cotangent
Trigonometric Identity Involving Cosecant And Cotangent
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 Cesecant And Cotangent: The identity is
Let us try to prove these identities and use it further to simplify the various trigonometric expressions
In Proof For The Identity: Let us see what we get on dividing (1) by i.e., i.e., This is true for all A such that |  |
Illustration: Simplify the expression:
Solution: We will simplify the expression using trigonometric Identities
=
Question : - Given that cosec - cot
= 5, find the value of cosec
+ cot
and sin
.
Sol. - We have,
............(i)
Now, cosec - cot
= 5 ...........(ii)
Add (i) and (ii), we get
Simplify the given expression : | |||
| Right Option : A | |||
| View Explanation | |||
| Right Option : A | |||
| View Explanation | |||
If | |||
| Right Option : A | |||
| View Explanation | |||
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