Enter the coordinates of the point on the unit circle at the given angle.

315'

Explanation:

The angle 315 degrees is in the interval 270 < theta < 360. This places the angle in quadrant 4.

To get the reference angle, we subtract from 360

360-315 = 45

So the reference angle is 45 degrees. Because we're in quadrant 4, we'll need to remember the following

cosine is positive in quadrant 4

sine is negative in quadrant 4

Since sin(45) = cos(45) = sqrt(2)/2 after using the unit circle, this means

cos(315) = sqrt(2)/2 and sin(315) = -sqrt(2)/2

The terminal point is located at (sqrt(2)/2,   -sqrt(2)/2)

The cosine of the angle theta handles the x coordinate, while the y coordinate is handled by sine.

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