Trigonometry Examples

$791 °$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $791 °$ .

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Step 1.1

Subtract $360 °$ from $791 °$ .

$791 ° - 360 °$

Step 1.2

The resulting angle of $431 °$ is positive and coterminal with $791 °$ but isn't less than $360 °$ . Repeat the step.

$431 °$

Step 1.3

Subtract $360 °$ from $431 °$ .

$431 ° - 360 °$

Step 1.4

The resulting angle of $71 °$ is positive, less than $360 °$ , and coterminal with $791 °$ .

$71 °$

Step 2

Since $71 °$ is in the first quadrant, the reference angle is $71 °$ .

$71 °$