Find the Quadrant of the Angle (3pi)/4

Problem

(3*π)/4

Solution

1. Identify the angle in radians and compare it to the standard quadrant boundaries.

2. Convert the boundaries to a common denominator of 4 to make comparison easier.

3. Determine the range for the second quadrant, which is between π/2 and π

4. Compare the given angle to these boundaries:

π/2=(2*π)/4

π=(4*π)/4

5. Conclude that since (2*π)/4<(3*π)/4<(4*π)/4 the angle lies in the second quadrant.

Final Answer

(3*π)/4∈Quadrant II

Want more problems? Check here!