Trigonometry Examples

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

Step 1

Apply the sine double-angle identity.

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

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

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

Step 3

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

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Step 3.1

Cancel the common factor.

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

Step 3.2

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

$\cos (x)$

$\cos (x)$

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