Trigonometry Examples

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

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.

$1$