Identify Quadrant of Angle (radians)

[Quincy]

Homework Statement

Determine the quadrant in which the terminal side of the angle lies. (The angle is given in radians.)

a) -1 b) -2

The Attempt at a Solution

a) -1 * (180/3.14) = -57.3 degrees -- Quadrant IV

b) -2 * (180/3.14) = -114.6 degrees -- Quadrant III

- Is there a way to find out which quadrant they're in without having to to convert them into degrees?

 

[HallsofIvy]

Well, how does knowing them in degrees help you? I assume it is because you know that 0, 90, 180, and 270 degrees, as well as -90, -180, and -270 are the "separators". You should know the same thing for radians. The corresponding values are 0, $\pi/2$= 0.785, $\pi/2$= 1.57, $3\pi/2$= 4.71, and the corresponding negative values.