Trigonometry Examples

\csc^{2} (θ) = 1 + \cot^{2} (θ)

$\csc^{2} (θ) = 1 + \cot^{2} (θ)$

Step 1

Start on the right side.

1 + \cot^{2} (θ)

$1 + \cot^{2} (θ)$

Step 2

Apply pythagorean identity.

\csc^{2} (θ)

$\csc^{2} (θ)$

Step 3

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

\csc^{2} (θ) = 1 + \cot^{2} (θ)

$\csc^{2} (θ) = 1 + \cot^{2} (θ)$ is an identity