Precalculus Examples

$\csc (θ) \tan (θ)$

Step 1

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

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Step 1.1

Reorder $\csc (θ)$ and $\tan (θ)$ .

$\tan (θ) \csc (θ)$

Step 1.2

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

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

Step 1.3

Cancel the common factors.

$\frac{1}{\cos (θ)}$

Step 2

Convert from $\frac{1}{\cos (θ)}$ to $\sec (θ)$ .

$\sec (θ)$