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What is the reference angle (in radians) for 5.75 radians, rounded to two decimal places?

User Ducminh
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1 Answer

3 votes

The reference angle of θ is the acute angle θR that the terminal side of θ makes with the x-axis.

Choose a proper formula for calculating the reference angle:

0° to 90°: reference angle = angle ,

90° to 180°: reference angle = 180° - angle ,

180° to 270°: reference angle = angle - 180° ,

270° to 360°: reference angle = 360° - angle .

5.75rad × 180/π = 329.451°

The reference angle = 360- 329.451= 30.549

= 30.55 degrees.

User Natacha
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