Trigonometry Examples

$\sin (x) = \frac{1}{\csc (x)}$

Step 1

Start on the right side.

$\frac{1}{\csc (x)}$

Step 2

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

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

Step 3

Simplify.

Tap for more steps...

Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$1 \sin (x)$

Step 3.2

Multiply $\sin (x)$ by $1$ .

$\sin (x)$

Step 4

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

$\sin (x) = \frac{1}{\csc (x)}$ is an identity