Algebra Examples

$\frac{\sin (θ) \cos (θ)}{\sin (θ - π)}$

Step 1

Separate fractions.

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

Step 2

Rewrite $\frac{\sin (θ)}{\sin (θ - π)}$ as a product.

$\frac{\cos (θ)}{1} (\sin (θ) \frac{1}{\sin (θ - π)})$

Step 3

Write $\sin (θ)$ as a fraction with denominator $1$ .

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

Step 4

Simplify.

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Step 4.1

Divide $\sin (θ)$ by $1$ .

$\frac{\cos (θ)}{1} (\sin (θ) \frac{1}{\sin (θ - π)})$

Step 4.2

Convert from $\frac{1}{\sin (θ - π)}$ to $\csc (θ - π)$ .

$\frac{\cos (θ)}{1} (\sin (θ) \csc (θ - π))$

Step 5

Divide $\cos (θ)$ by $1$ .

$\cos (θ) \sin (θ) \csc (θ - π)$