Trigonometry Examples

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{\cos (θ)} \sin (θ)$

Step 2

Convert from $\frac{1}{\cos (θ)}$ to $\sec (θ)$ .

$\sec (θ) \sin (θ)$

Step 3

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

$\frac{1}{\cos (θ)} \sin (θ)$

Step 4

Combine $\frac{1}{\cos (θ)}$ and $\sin (θ)$ .

$\frac{\sin (θ)}{\cos (θ)}$

Step 5

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

$\tan (θ)$