Algebra Examples

$\sin (θ) \cdot \cot (θ) \cdot \sec (θ)$

Step 1

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

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Step 1.1

Reorder $\sin (θ)$ and $\cot (θ)$ .

$\cot (θ) \cdot \sin (θ) \cdot \sec (θ)$

Step 1.2

Rewrite $\sin (θ) \cdot \cot (θ)$ in terms of sines and cosines.

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

Step 1.3

Cancel the common factors.

$\cos (θ) \cdot \sec (θ)$

Step 2

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

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Step 2.1

Reorder $\cos (θ)$ and $\sec (θ)$ .

$\sec (θ) \cdot \cos (θ)$

Step 2.2

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

$\frac{1}{\cos (θ)} \cos (θ)$

Step 2.3

Cancel the common factors.

$1$