The measure of an angle in standard position is given. find two positive angles and two negative angles that are coterminal with the given angle. (enter your answers as a comma-separated list.) pi/6

Subtracting or adding multiples of 2*r to any angle will make no change, it will be the same angle.

7*pi/6 = 6*pi/6 + pi/6

So, the angle is in the third quadrant and surpasses pi radians by pi/6 radians or 30 degrees.

The positive co-terminal angles are:

Adding 2*pi,

7*pi/6 + 12*pi/6 = 19*pi/6

Adding another 2*pi,

7*pi/6 + 2 * (12*pi) / 6 = 7*pi/6 + 24*pi/6

7*pi/6 + 24*pi/6 = 31*pi/6

The 2 negative co-terminal angles are:7*pi/6 - 12*pi/6 = 5*pi/6

And

7*pi/6 - 24*pi/6 = - 17*pi/6