Algebra Examples

$\sec (θ) \cdot \tan (θ) \cdot \cos (θ)$

Step 1

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

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

Step 2

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

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Step 2.1

Add parentheses.

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

Step 2.2

Rewrite $\frac{1}{\cos (θ)} \cdot \tan (θ) \cdot \cos (θ)$ in terms of sines and cosines.

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

Step 2.3

Cancel the common factors.

$\frac{1}{\cos (θ)} \cdot \sin (θ)$

Step 3

Combine $\frac{1}{\cos (θ)}$ and $\sin (θ)$ .

$\frac{\sin (θ)}{\cos (θ)}$

Step 4

Convert from $\frac{\sin (θ)}{\cos (θ)}$ to $\tan (θ)$ .

$\tan (θ)$