Trigonometry Examples

$\frac{\cot (x)}{\cos (x) \csc (x)}$

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

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

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Step 4.1

Cancel the common factor.

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

Step 4.2

Rewrite the expression.

$1$