Question

For each angle in standard position, determine one positive and one negative angle measure that is conterminal with it. In which quadrant does the terminal arm lie?

(a) pi/3
(b) - 5pi /6

Answer 1

Coterminal angles are described in the attachment.

http://hotmath.com/hotmath_help/topics/coterminal-angles.html

Answer 2

(a) pi/3

π/3 + 2π = (7π)/3

π/3 - 2π = - (5π)/3

The terminal arm lies in the first Quadrant.

@GizmoGirl04 See what you can do with part b, okay?

Answer 3

for part b, -5 pi/6 + 2pi = -3pi/6 = -1pi/2
and -5pi/6 - 2pi = -7pi/6

is this correct? i can't figure out which quadrant it lies in.

Answer 4

Every time you add or subtract 2π radians (360 degrees) you end up where you started.

Answer 5

>>> for part b, -5 pi/6 + 2pi = -3pi/6 = -1pi/2 Not correct.


-5 pi/6 + 2pi = -5pi/6 + 12pi/6 = 7pi/6 --> This is in the same quadrant as -5 pi /6

-------------

Okay, now you do the -5 pi/6 - 2pi again. @GizmoGirl04