Algebra Examples

$\frac{\cos (θ)}{1 + \csc (θ)} \cdot \frac{1 - \csc (θ)}{1 - \csc (θ)}$

Step 1

Cancel the common factor of $1 - \csc (θ)$ .

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Step 1.1

Cancel the common factor.

$\frac{\cos (θ)}{1 + \csc (θ)} \cdot \frac{1 - \csc (θ)}{1 - \csc (θ)}$

Step 1.2

Rewrite the expression.

$\frac{\cos (θ)}{1 + \csc (θ)} \cdot 1$

Step 2

Multiply $\frac{\cos (θ)}{1 + \csc (θ)}$ by $1$ .

$\frac{\cos (θ)}{1 + \csc (θ)}$

Step 3

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

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

Step 4

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

$\frac{\cos (θ)}{1 + \csc (θ)}$