Question

prove that (1 - sin ² theta )( sec²theta) =1​

Answer 1

To prove :

( 1 - sin²A )( sec²A ) = 1

On taking L.H.S. :

( 1 - sin²A )( sec²A )

As we know that : ( sin²A + cos²A ) = 1 and sec²A = 1/cos²A

=> cos²A/cos²A

=> 1 = R.H.S.

HENCE PROVED ✔️

I hope it will be helpful for you ☺️

Fóllòw MË ❤️