Trigonometry Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

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

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

Step 1.3

Cancel the common factors.

$\cos (x) \sec (x)$

Step 2

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

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Step 2.1

Reorder $\cos (x)$ and $\sec (x)$ .

$\sec (x) \cos (x)$

Step 2.2

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

$\frac{1}{\cos (x)} \cos (x)$

Step 2.3

Cancel the common factors.

$1$