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�‹
Evaluate cot(11pi/6) to the nearest hundredth (given in radians).
3 answers
tan pi/6 = 1/sqrt(3), so cot pi/6 = sqrt(3)
then cot(11pi/6) = -sqrt(3)
Remark
pi/6 rad = 30 deg
then cot(11pi/6) = -sqrt(3)
Remark
pi/6 rad = 30 deg
in the decimal form they asked for:
-1.73
-1.73