How do you determine the quadrant in which -(11pi)/9 lies?

2 Answers
Feb 15, 2018

The negative means you go clockwise instead of counterclockwise to graph the angle. Then...

Explanation:

Then, since 11/9 is a little more than one, it means the angle is a little more than \pi (or 180 degrees). Therefore, when you graph an angle moving clockwise and go past \pi radians, you will be in Quadrant II

Feb 22, 2018

Second quadrant.

Explanation:

-(11pi)/9 = -1((2pi)/9) = -pi - ((2pi)/9)

=> 2pi - pi - ((2pi)/9) = (7pi)/9

Since (7pi)/9 > pi/2, it is in second quadrant.

Aliter : -(11pi)/9 = -((11pi)/9) * (360/2pi) = - 220^@#

=> 360 - 220 = 140^@ = (90 + 50)^@

It’s in second quadrant, as 140^@ is between 90^@ and 180^@