Algebra Examples

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

Step 1

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

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Step 1.1

Reorder $\cos (θ)$ and $\tan (θ)$ .

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

Step 1.2

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

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

Step 1.3

Cancel the common factors.

$\sin (θ) \cdot \sec (θ)$

Step 2

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

$\sin (θ) \cdot \frac{1}{\cos (θ)}$

Step 3

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

$\frac{\sin (θ)}{\cos (θ)}$

Step 4

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

$\tan (θ)$