Angle in another quadrant (radians)?

If I have an arbitrary angle such as 5pi / 9 and it is in quadrant II how can I find it's equivalent in quadrant I, III, and IV?

Question

Angle in another quadrant (radians)?

If I have an arbitrary angle such as 5pi / 9 and it is in quadrant II how can I find it's equivalent in quadrant I, III, and IV?

cwrw238 · Answer

first quadrant = 0 to pi/2
2nd        ..             pi/2 to pi
3rd        ..              pi to 3pi/2
4th       ..                3pi/2 to  2pi

anonymous · Answer

i know the quadrants... I am looking for the equivalent value for 5pi / 9 in each quadrant. I need to know how to do it as well..

cwrw238 · Answer

right:-   angle in first quadrant = pi - 5pi/9 = 4pi/9
now use this value in first quadrant to find angles in 3rd and 4th.

3rd quadrant = pi + 4pi/9
4th    = 2pi - 4pi/9

cwrw238 · Answer

ok?

anonymous · Answer

Thanks. This is exactly what I was looking for!

cwrw238 · Answer

yw