Trigonometry Examples

$2461 °$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $2461 °$ .

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Step 1.1

Subtract $360 °$ from $2461$ until the angle falls between $0$ and $360 °$ . In this case, $360 °$ needs to be subtracted $6$ times.

$2461 - 6 \cdot 360$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $- 6$ by $360$ .

$2461 - 2160$

Step 1.2.2

Subtract $2160$ from $2461$ .

$301$

Step 2

Since the angle $301 °$ is in the fourth quadrant, subtract $301 °$ from $360 °$ .

$360 ° - 301 °$

Step 3

Subtract $301$ from $360$ .

$59 °$