Trigonometry Examples

$2 \cot (x) \sec (x)$

Step 1

Rewrite in terms of sines and cosines, then cancel the common factors.

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Step 1.1

Add parentheses.

$2 (\cot (x) \sec (x))$

Step 1.2

Rewrite $2 \cot (x) \sec (x)$ in terms of sines and cosines.

$2 (\frac{\cos (x)}{\sin (x)} \cdot \frac{1}{\cos (x)})$

Step 1.3

Cancel the common factors.

$2 \frac{1}{\sin (x)}$

Step 2

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

$2 \csc (x)$