Algebra Examples

$\frac{\tan (θ) \cos (θ)}{\sin (θ)}$

Step 1

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

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

Step 2

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

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

Step 3

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 3.1

Reduce the expression $\frac{\sin (θ) \cos (θ)}{\cos (θ)}$ by cancelling the common factors.

Tap for more steps...

Step 3.1.1

Cancel the common factor.

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

Step 3.1.2

Rewrite the expression.

$\frac{\frac{\sin (θ)}{1}}{\sin (θ)}$

Step 3.2

Divide $\sin (θ)$ by $1$ .

$\frac{\sin (θ)}{\sin (θ)}$

Step 4

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

Tap for more steps...

Step 4.1

Cancel the common factor.

$\frac{\sin (θ)}{\sin (θ)}$

Step 4.2

Rewrite the expression.

$1$