Question

If 453 degrees is in standard position, determine a coterminal angle that is between 0 degrees & 360 degrees and state the quadrant in which the terminal side lies.

Answer 1

453° - 360° = 93° → quadrant 2

Answer 2

Hence, the coterminal angle is:

93° and it lies in the second quadrant.

Explanation:

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

Now here we are asked to find the coterminal angle that is between 0 degrees & 360 degrees of 453 degree angle.

So teh coterminal angle will be:

`453 -360=93`

Hence, the coterminal angle is:

93° and it lies in the second quadrant.