Trigonometry Examples

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

Step 1

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

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Step 1.1

Add parentheses.

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

Step 1.2

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

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

Step 1.3

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

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

Step 1.4

Cancel the common factors.

$\cos (x) - \cos (x)$

Step 2

Subtract $\cos (x)$ from $\cos (x)$ .

$0$