Question

Sinθ/(1-〖cos〗^2 θ)=cosecθ

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

cosec x = $\frac{1}{sinx}$

Consider the left side

$\frac{sin0}{1-cos^20}$

= $\frac{sin0}{sin^20}$ ← cancel sinΘ on numerator/denominator

= $\frac{1}{sin0}$

= cosecΘ = right side