Trigonometry Examples

$\sin (2 x) \sec (x)$

Step 1

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

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

Step 2

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

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

Step 3

Apply the sine double-angle identity.

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

Step 4

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

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Step 4.1

Cancel the common factor.

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

Step 4.2

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

$2 \sin (x)$

$2 \sin (x)$

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