Question

Sinθ/(1-〖cos〗^2 θ)=cosecθ

Answer 1

see explanation

Explanation:

Using the trigonometric identities

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

cosec x =
`(1)/(sinx)`

Consider the left side

`(sin0)/(1-cos^20)`

=
`(sin0)/(sin^20)` ← cancel sinΘ on numerator/denominator

=
`(1)/(sin0)`

= cosecΘ = right side