Q:

In what quadrant does the angle 9pie/4 terminate?

Accepted Solution

A:
To convert radians to degrees, multiply by 180π180π, since a full circle is 360°360° or 2π2π radians.(9π4)⋅180°π(9π4)⋅180°πCancel the common factor of ππ.Tap for more steps...94⋅180194⋅1801Cancel the common factor of 44.Tap for more steps...91⋅45191⋅451Simplify.Tap for more steps...405405Convert to a decimal.405°405°For angles greater than 360°360°, subtract 360°360° from the angle until the angle is less than 360°360°.4545The angle is in the first quadrant.Quadrant 1