Question

Which of the following is the exact value of cot 60°?

Answer 1

The exact value of cot 60 degrees is √3/3. Option C

We have that;

Cotangent definition: Cotangent is the reciprocal of tangent, so:

cot(x) = 1/tan(x)

Tangent value: We know that tan(60°) = √3.

Substitution: Applying the cotangent definition with the known tangent value:

cot(60°) = 1/tan(60°) = 1/√3.

Now, rationalize the surd form, we have;

cot 60 = 1 ×√3/√3 × √3

Multiply the values, we have;

cot 60 = √3/3

Complete question:

Which of the following is the exact value of cot 60°?

a. √3

b. 2

c. √3/3

Answer 2

`√(3 ) / 3`