Trigonometry Examples

$\frac{2}{\sin (x)} = 2 \csc (x)$

Step 1

Start on the right side.

$2 \csc (x)$

Step 2

Apply the reciprocal identity to $\csc (x)$ .

$2 \frac{1}{\sin (x)}$

Step 3

Combine $2$ and $\frac{1}{\sin (x)}$ .

$\frac{2}{\sin (x)}$

Step 4

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

$\frac{2}{\sin (x)} = 2 \csc (x)$ is an identity