Precalculus Examples

csc (x) tan (x)

$\csc (x) \tan (x)$

Step 1

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

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Step 1.1

Reorder

csc (x)

$\csc (x)$ and

tan (x)

$\tan (x)$ .

tan (x) csc (x)

$\tan (x) \csc (x)$

Step 1.2

Rewrite

csc (x) tan (x)

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

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

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

Step 1.3

Cancel the common factors.

\frac{1}{cos (x)}

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

\frac{1}{cos (x)}

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

Step 2

Convert from

\frac{1}{cos (x)}

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

sec (x)

$\sec (x)$ .

sec (x)

$\sec (x)$