Use the fundamental identities to simplify the expression.

Question

There is more than one correct form of the answer. 9 sec^2 x(1 − sin^2 x)?

Answer 1

The trigonometric expression is 9 sec² x (1 - sin²x)

Apply pythagorean identity 1 - sin² x = cos² x

9 sec² x (1 - sin²x) = 9 sec² x(cos² x)

Apply reciprocal identity cosx = 1/ secx

= 9 sec² x(1/sec² x)

= 9