Trigonometry Examples

$\frac{\sec (θ)}{\csc (θ)}$

Step 1

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

$\frac{\sec (θ)}{\frac{1}{\sin (θ)}}$

Step 2

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

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

Step 3

Multiply by the reciprocal of the fraction to divide by $\frac{1}{\sin (θ)}$ .

$\frac{\sin (θ)}{\cos (θ)}$

Step 4

Convert from $\frac{\sin (θ)}{\cos (θ)}$ to $\tan (θ)$ .

$\tan (θ)$