Question

Determine the angle between 0 and 2π that is coterminal with quantity 17 times pi end quantity over 4 periodquantity 9 times pi end quantity over 4 periodquantity 5 times pi end quantity over 4 periodquantity 3 times pi end quantity over 4 periodpi over 4

Answer 1

Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360 degrees or 2π to each angle, depending on whether the given angle is in degrees or radians.

The coterminal of a given angle can be solved by

$\theta\pm2\pi n$

To find an angle that is coterminal with the given angle between 0 and 2π, subtract 2π and apply two full rotations to the given angle.

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