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Question

Find the angle between 0° and 360° that is coterminal with 375°.

Asked By SilentStorm57 at

Answered By Expert

Norman

Expert · 4.3k answers · 4k people helped

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Solution By Steps

Step 1: Find Coterminal Angle

To find a coterminal angle, subtract or add multiples of 360° to the given angle until it falls within the range of 0° to 360°.

Step 2: Calculate Coterminal Angle

Subtract 360° from 375° to find the coterminal angle within 0° to 360°.

Final Answer

The angle between 0° and 360° that is coterminal with 375° is 15°.

Summary

Coterminal angles are angles that share the same initial and terminal sides. Understanding coterminal angles is crucial in trigonometry and navigation, where angles are often represented in standard position. By finding coterminal angles, we can simplify calculations and better visualize angles on the unit circle.

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