Question

Find the value of the trigonometric function. If possible, give the exact value; otherwise, use a calculator to find an approximate value correct to five decimal places. cot 5π/6

Answer 1

The value of cot(5π/6) is 3/√3.

Step-by-step explanation:

To find the value of cot(5π/6), we need to evaluate the reciprocal of tan(5π/6). First, we need to determine the value of tan(5π/6). Since 5π/6 is in the second quadrant, we can use the reference angle π/6 to find the value of tan(5π/6). tan(π/6) = √3/3. Since cot(x) = 1/tan(x), cot(5π/6) = 1/(√3/3) = 3/√3.