Find the Exact Value tan(-450 degrees )

$\tan (- 450 °)$

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

Find the Exact Value tan(-450 degrees )

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