Trigonometry Examples

$- 400 °$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $- 400 °$ .

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Step 1.1

Add $360 °$ to $- 400 °$ .

$- 400 ° + 360 °$

Step 1.2

The resulting angle of $- 40 °$ is coterminal with $- 400 °$ but isn't positive. Repeat the step.

$- 40 °$

Step 1.3

Add $360 °$ to $- 40 °$ .

$- 40 ° + 360 °$

Step 1.4

The resulting angle of $320 °$ is positive and coterminal with $- 400 °$ .

$320 °$

Step 2

Since the angle $320 °$ is in the fourth quadrant, subtract $320 °$ from $360 °$ .

$360 ° - 320 °$

Step 3

Subtract $320$ from $360$ .

$40 °$