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Find an angle between 0 and 360 that is coterminal with θ.

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Final answer:

To find an angle between 0 and 360 that is coterminal with θ, add or subtract multiples of 360 from θ.

Step-by-step explanation:

An angle that is coterminal with θ is an angle that has the same initial and terminal sides as θ. To find an angle between 0 and 360 that is coterminal with θ, we can add or subtract multiples of 360 from θ. Adding or subtracting multiples of 360 does not change the position of the terminal side, it just completes another rotation. So, any angle of the form θ + 360n, where n is an integer, will be coterminal with θ.

User Vladislav Zalesak
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