Algebra Examples

$\sin^{2} (θ) = 1 - \cos^{2} (θ)$

Step 1

Start on the right 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.

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