Find one positive and one negative angle coterminal with an angle of 166 question 4 options:

526°, –194°

516°, –14°

526°, –76

256°,-76

Choice A) 526 degrees,  -194 degrees

Work Shown:

A coterminal angle points in the same exact direction as the original angle.

Because there are 360 degrees in a circle, this means we can add 360 to the original angle to get 166+360 = 526, which is one positive coterminal angle to 166 degrees.

Subtract 360 from the original angle and we'll get a negative coterminal angle

166 - 360 = -194

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

22

step-by-step explanation: