Trigonometry Examples

$\cos^{2} (x) \sec (x) \csc (x)$

Step 1

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

$\cos^{2} (x) \frac{1}{\cos (x)} \csc (x)$

Step 2

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

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Step 2.1

Factor $\cos (x)$ out of $\cos^{2} (x)$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$\cos (x) \csc (x)$

Step 3

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

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

Step 4

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

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

Step 5

Convert from $\frac{\cos (x)}{\sin (x)}$ to $\cot (x)$ .

$\cot (x)$