Question

1+cosec a /cosec a =sin^2a /1 - sin a
Prove that LHS=RHS
Fastttt

Answer 1

(1+cosec a)/cosec a

as we know that cosec a = 1/sin a

then

= (1 + 1/ sin a)/(1/sin a)

= [(sin a + 1)/sin a] * sina

= (1+sin a)*(1-sin a)/(1-sin a)

= (1-sin²a)/(1-sin a)

= cos²a /(1-sin a)