Trigonometry Examples

$\frac{\tan (x)}{\sec (x) \sin (x)}$

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

Cancel the common factor of $\frac{\sin (x)}{\cos (x)}$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

$1$