Trigonometry Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Reduce the expression $\frac{\cos (x) \sin (x)}{\cos (x)}$ by cancelling the common factors.

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Step 3.1.1

Cancel the common factor.

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

Step 3.1.2

Rewrite the expression.

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

Step 3.2

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

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

Step 4

Convert from $\frac{1}{\sin (x)}$ to $\csc (x)$ .

$\csc (x)$