Trigonometry Examples

$- 440 °$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $- 440 °$ .

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Step 1.1

Add $360 °$ to $- 440 °$ .

$- 440 ° + 360 °$

Step 1.2

The resulting angle of $- 80 °$ is coterminal with $- 440 °$ but isn't positive. Repeat the step.

$- 80 °$

Step 1.3

Add $360 °$ to $- 80 °$ .

$- 80 ° + 360 °$

Step 1.4

The resulting angle of $280 °$ is positive and coterminal with $- 440 °$ .

$280 °$

Step 2

Since the angle $280 °$ is in the fourth quadrant, subtract $280 °$ from $360 °$ .

$360 ° - 280 °$

Step 3

Subtract $280$ from $360$ .

$80 °$