Trigonometry Examples

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

Step 1

Apply the sine double-angle identity.

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

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

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

Step 3

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

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

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

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

Step 4

Convert from $\frac{1}{\sin (x)}$ to $\csc (x)$ .

$\csc (x)$

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