Trigonometry Examples

$1380 °$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $1380 °$ .

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Step 1.1

Subtract $360 °$ from $1380 °$ .

$1380 ° - 360 °$

Step 1.2

The resulting angle of $1020 °$ is positive and coterminal with $1380 °$ but isn't less than $360 °$ . Repeat the step.

$1020 °$

Step 1.3

Subtract $360 °$ from $1020 °$ .

$1020 ° - 360 °$

Step 1.4

The resulting angle of $660 °$ is positive and coterminal with $1380 °$ but isn't less than $360 °$ . Repeat the step.

$660 °$

Step 1.5

Subtract $360 °$ from $660 °$ .

$660 ° - 360 °$

Step 1.6

The resulting angle of $300 °$ is positive, less than $360 °$ , and coterminal with $1380 °$ .

$300 °$

Step 2

Since the angle $300 °$ is in the fourth quadrant, subtract $300 °$ from $360 °$ .

$360 ° - 300 °$

Step 3

Subtract $300$ from $360$ .

$60 °$