Pre cal help please ! Answer asap! Thanks!

Question

prove the following identity.

 

1-cosθ/sin²θ = 1/1+cosθ

 

thanks!

Answer 1

WORKING WITH THE LHS OF THE EQUATION

 

REMEMBER SIN ^2 θ + COS ^2 θ = 1 WE WILL BE USING IT TO PROVE THIS IDENTITY

 

(1-C0S θ) / (  1 - COS^2 θ) 

 

= (1 - COS θ ) / (1+COS θ) (1-COS θ)

 

= 1  / ( 1 + COS θ)

 

LHS = RHS 

 

IDENTITY PROVED