Precalculus Examples

$\tan (- 450)$

Step 1

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

$\frac{\sin (- 450)}{\cos (- 450)}$

Step 2

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

$\frac{\sin (- 450)}{\cos (270)}$

Step 3

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant.

$\frac{\sin (- 450)}{- \cos (90)}$

Step 4

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

$\frac{\sin (- 450)}{- 0}$

Step 5

Multiply $- 1$ by $0$ .

$\frac{\sin (- 450)}{0}$

Step 6

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

Undefined