Determine if True 1-cos(theta)^2=sin(theta)^2

$1 - \cos^{2} (θ) = \sin^{2} (θ)$

Step 1

Start on the left side.

$1 - \cos^{2} (θ)$

Step 2

Apply pythagorean identity.

$\sin^{2} (θ)$

Step 3

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

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