Coterminal Angles

Definition: Two angles are coterminal if they start and end at the same position. They share an initial side (starting point) and terminal side (ending point), but have different rotations. The measures of coterminal angles always differ by multiples of 360°.

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Example: Find three angles coterminal to 340°.

Solution:

Because a full rotation is 360°, we can add or subtract 360 from 340° to find coterminal angles:

340 – 360 = -20°

340 + 360 = 700°

Adding or subtracting 360 from these coterminal angles will give us more coterminal angles:

-20 – 360 = -380°

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