Precalculus Examples

$\cot (x) \sin (x) - \sin (\frac{π}{2} - x) + \cos (x)$

Step 1

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

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Step 1.1

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

$\frac{\cos (x)}{\sin (x)} \sin (x) - \sin (\frac{π}{2} - x) + \cos (x)$

Step 1.2

Cancel the common factors.

$\cos (x) - \sin (\frac{π}{2} - x) + \cos (x)$

Step 2

Add $\cos (x)$ and $\cos (x)$ .

$2 \cos (x) - \sin (\frac{π}{2} - x)$