Trigonometry Examples

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

Step 1

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

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

Step 2

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

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

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

Step 3

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

$\sec (x)$