Precalculus Examples

$(1 - \cos^{2} (x)) \sec (x) = \sin^{2} (x) \sec (x)$

Step 1

Start on the left side.

$(1 - \cos^{2} (x)) \sec (x)$

Step 2

Apply pythagorean identity.

$\sin^{2} (x) \sec (x)$

Step 3

Because the two sides have been shown to be equivalent, the equation is an identity.

$(1 - \cos^{2} (x)) \sec (x) = \sin^{2} (x) \sec (x)$ is an identity