Trigonometry Examples

sin (x) cot (x) sec (x)

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

Step 1

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

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Step 1.1

Reorder

sin (x)

$\sin (x)$ and

cot (x)

$\cot (x)$ .

cot (x) sin (x) sec (x)

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

Step 1.2

Rewrite

sin (x) cot (x)

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

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

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

Step 1.3

Cancel the common factors.

cos (x) sec (x)

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

cos (x) sec (x)

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

Step 2

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

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Step 2.1

Reorder

cos (x)

$\cos (x)$ and

sec (x)

$\sec (x)$ .

sec (x) cos (x)

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

Step 2.2

Rewrite

cos (x) sec (x)

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

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

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

Step 2.3

Cancel the common factors.

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