Trigonometry Examples

$\csc (x) \sin (2 x)$

Step 1

Rewrite $\csc (x)$ in terms of sines and cosines.

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

Step 2

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

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

Step 3

Apply the sine double-angle identity.

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

Step 4

Cancel the common factor of $\sin (x)$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

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

Step 4.2

Divide $2 \cos (x)$ by $1$ .

$2 \cos (x)$

$2 \cos (x)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$