Trigonometry Examples

$\frac{1 - \cos^{2} (t)}{\cos (t)}$

Step 1

Apply pythagorean identity.

$\frac{\sin^{2} (t)}{\cos (t)}$

Step 2

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

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

Step 3

Separate fractions.

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

Step 4

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

$\frac{\sin (t)}{1} \tan (t)$

Step 5

Divide $\sin (t)$ by $1$ .

$\sin (t) \tan (t)$