Trigonometry Examples

$\tan (450)$

Step 1

To convert degrees to radians, multiply by $\frac{π}{180 °}$ , since a full circle is $360 °$ or $2 π$ radians.

Step 2

Rewrite $\tan (450)$ in terms of sines and cosines.

$\frac{\sin (450)}{\cos (450)} \cdot \frac{π}{180}$ radians

Step 3

Remove full rotations of $360$ ° until the angle is between $0$ ° and $360$ °.

$\frac{\sin (450)}{\cos (90)} \cdot \frac{π}{180}$ radians

Step 4

The exact value of $\cos (90)$ is $0$ .

$\frac{\sin (450)}{0} \cdot \frac{π}{180}$ radians

Step 5

The expression contains a division by $0$ . The expression is undefined.

Undefined