Trigonometry Examples

$\sin (- x) \cdot \cot (- x)$

Step 1

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

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Step 1.1

Reorder $\sin (- x)$ and $\cot (- x)$ .

$\cot (- x) \cdot \sin (- x)$

Step 1.2

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

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

Step 1.3

Cancel the common factors.

$\cos (- x)$

Step 2

Since $\cos (- x)$ is an even function, rewrite $\cos (- x)$ as $\cos (x)$ .

$\cos (x)$