Algebra Examples

$\sec (θ) \cot (θ) \sin (θ)$

Step 1

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

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Step 1.1

Reorder $\sec (θ)$ and $\cot (θ)$ .

$\cot (θ) \sec (θ) \sin (θ)$

Step 1.2

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

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

Step 1.3

Cancel the common factors.

$\frac{1}{\sin (θ)} \sin (θ)$

Step 2

Cancel the common factor of $\sin (θ)$ .

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Step 2.1

Cancel the common factor.

$\frac{1}{\sin (θ)} \sin (θ)$

Step 2.2

Rewrite the expression.

$1$