Question

Evaluate cot(11pi/6) to the nearest hundredth (given in radians).

Answer 1

11pi/6 is in the fourth quadrant, in the fourth quadrant the tangent is negative, so the cotangent is negative.

The angle is pi/6 away from the x-axis, so the "angle in standard position" is pi/6

tan pi/6 = 1/ã3, so cot pi/6 = ã3

then cot(11pi/6) = -ã3

Remark

pi/6 rad = 30‹

Answer 2

tan pi/6 = 1/sqrt(3), so cot pi/6 = sqrt(3)

then cot(11pi/6) = -sqrt(3)

Remark

pi/6 rad = 30 deg

Answer 3

in the decimal form they asked for:
-1.73