Precalculus Examples

$8440 °$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $8440 °$ .

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Step 1.1

Subtract $360 °$ from $8440$ until the angle falls between $0$ and $360 °$ . In this case, $360 °$ needs to be subtracted $23$ times.

$8440 - 23 \cdot 360$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 23$ by $360$ .

$8440 - 8280$

Step 1.2.2

Subtract $8280$ from $8440$ .

$160$

Step 2

Since the angle $160 °$ is in the second quadrant, subtract $160 °$ from $180 °$ .

$180 ° - 160 °$

Step 3

Subtract $160$ from $180$ .

$20 °$