Question

Use the fundamental identities to simplify the expression. There is more than one correct form of the answer.

7 sec^2 x(1 − sin^2 x)

Answer 1

The fundamental identities that are useful are

Pythagorean relations: cos^2 x + sin^2 x = 1
Inverse trigo identity: cos x = 1/secx

Applying the pythagorean theorem, the equation would be:
7sec^2 x(cos^2 x)
Then applying the inverse trigo identity, the answer would be 7.

Thus, the final answer is 7.