Algebra Examples

$- 450$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $- 450 °$ .

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Step 1.1

Add $360 °$ to $- 450 °$ .

$- 450 ° + 360 °$

Step 1.2

The resulting angle of $- 90 °$ is coterminal with $- 450 °$ but isn't positive. Repeat the step.

$- 90 °$

Step 1.3

Add $360 °$ to $- 90 °$ .

$- 90 ° + 360 °$

Step 1.4

The resulting angle of $270 °$ is positive and coterminal with $- 450 °$ .

$270 °$

Step 2

Since the angle $180 °$ is in the third quadrant, subtract $180 °$ from $270 °$ .

$270 ° - 180 °$

Step 3

Subtract $180$ from $270$ .

$90 °$