Trigonometry Examples

$\sec (θ) \sin^{2} (θ)$

Step 1

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

$\frac{1}{\cos (θ)} \sin^{2} (θ)$

Step 2

Combine $\frac{1}{\cos (θ)}$ and $\sin^{2} (θ)$ .

$\frac{\sin^{2} (θ)}{\cos (θ)}$

Step 3

Factor $\sin (θ)$ out of $\sin^{2} (θ)$ .

$\frac{\sin (θ) \sin (θ)}{\cos (θ)}$

Step 4

Separate fractions.

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

Step 5

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

$\frac{\sin (θ)}{1} \tan (θ)$

Step 6

Divide $\sin (θ)$ by $1$ .

$\sin (θ) \tan (θ)$