Find the Quadrant of the Angle -(11pi)/9

Problem

−(11*π)/9

Solution

1. Convert to a positive coterminal angle by adding 2*π to the given angle to make it easier to visualize on the unit circle.

−(11*π)/9+2*π

2. Find a common denominator to perform the addition.

−(11*π)/9+(18*π)/9

3. Simplify the expression to find the coterminal angle.

(7*π)/9

4. Compare the angle to quadrant boundaries in radians. Quadrant II ranges from π/2 to π

π/2=(4.5*π)/9

π=(9*π)/9

5. Determine the quadrant by noting that (4.5*π)/9<(7*π)/9<(9*π)/9 which places the angle in the second quadrant.

Final Answer

Quadrant of −(11*π)/9=Quadrant II

Want more problems? Check here!