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Find a positive angle less than 360 degrees or 2pi that is coterminal with 395 degrees

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Coterminal angles are angles that, starting on the same place of the unit circle, end up in the exact same spot.

Because the circle has 360°, a coterminal angle can always be found by adding or substracting 360° from the given angle. These are th same as making a complete round on the circle, that is why it will end up in the same spot.

We want a coterminal angle of 395° less than 360°. Since 395° is greater than 360°, we can substract 360° to find a coterminal angle less than 360°.

Substracting once will already got where we want:


395\degree-360\degree=35\degree

Thus, a positive angle less than 360° that is coterminal with 395° is 35°.

User Willwade
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