Precalculus Examples

$- 404 °$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $- 404 °$ .

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Step 1.1

Add $360 °$ to $- 404 °$ .

$- 404 ° + 360 °$

Step 1.2

The resulting angle of $- 44 °$ is coterminal with $- 404 °$ but isn't positive. Repeat the step.

$- 44 °$

Step 1.3

Add $360 °$ to $- 44 °$ .

$- 44 ° + 360 °$

Step 1.4

The resulting angle of $316 °$ is positive and coterminal with $- 404 °$ .

$316 °$

Step 2

Since the angle $316 °$ is in the fourth quadrant, subtract $316 °$ from $360 °$ .

$360 ° - 316 °$

Step 3

Subtract $316$ from $360$ .

$44 °$