Trigonometry Examples

$\frac{1}{\sin^{2} (B)} - 1$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Rewrite $1$ as $1^{2}$ .

$\frac{1^{2}}{\sin^{2} (B)} - 1$

Step 1.2

Rewrite $\frac{1^{2}}{\sin^{2} (B)}$ as ${(\frac{1}{\sin (B)})}^{2}$ .

${(\frac{1}{\sin (B)})}^{2} - 1$

Step 1.3

Convert from $\frac{1}{\sin (B)}$ to $\csc (B)$ .

$\csc^{2} (B) - 1$

Step 2

Apply pythagorean identity.

$\cot^{2} (B)$