Find the Exact Value cot((11pi)/6)

Problem

cot((11*π)/6)

Solution

1. Identify the reference angle by finding the distance to the nearest multiple of π on the x-axis.

(11*π)/6=2*π−π/6

Reference Angle=π/6

2. Determine the quadrant of the angle (11*π)/6 Since it is between (3*π)/2 and 2*π the angle lies in Quadrant IV.

3. Determine the sign of the cotangent function in Quadrant IV. In this quadrant, x is positive and y is negative, so cot(θ)=x/y is negative.

4. Apply the cotangent value for the reference angle π/6

cot(π/6)=√(,3)

5. Combine the reference value with the correct sign for Quadrant IV.

cot((11*π)/6)=−√(,3)

Final Answer

cot((11*π)/6)=−√(,3)

Want more problems? Check here!