Precalculus Examples

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

Step 1

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

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

Step 2

Multiply by the reciprocal of the fraction to divide by $\frac{1}{\sin (x)}$ .

$\cot (x) (1 \sin (x))$

Step 3

Multiply $\sin (x)$ by $1$ .

$\cot (x) \sin (x)$

Step 4

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

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Step 4.1

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

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

Step 4.2

Cancel the common factors.

$\cos (x)$