Find the Quadrant of the Angle -200

Problem

−200

Solution

1. Add a full rotation to find a coterminal angle within the standard range of 0 to 360

−200+360=160

2. Identify the quadrant boundaries in the coordinate plane.

Quadrant I:0<θ<90

Quadrant II:90<θ<180

Quadrant III:180<θ<270

Quadrant IV:270<θ<360

3. Compare the angle to the boundaries to determine its location.

90<160<180

Final Answer

−200∈Quadrant II

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