Trigonometry Examples

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

Step 1

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

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

Step 2

Rewrite $\frac{\frac{\sin (x)}{\cos (x)}}{\sin (x)}$ as a product.

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

Step 3

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

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

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

Step 4

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

$\sec (x)$