Algebra Examples

$1 + \cot^{2} (- θ)$

Step 1

Apply pythagorean identity.

$\csc^{2} (- θ)$

Step 2

Since $\csc (- θ)$ is an odd function, rewrite $\csc (- θ)$ as $- \csc (θ)$ .

${(- \csc (θ))}^{2}$

Step 3

Apply the product rule to $- \csc (θ)$ .

${(- 1)}^{2} \csc^{2} (θ)$

Step 4

Raise $- 1$ to the power of $2$ .

$1 \csc^{2} (θ)$

Step 5

Multiply $\csc^{2} (θ)$ by $1$ .

$\csc^{2} (θ)$