Question

Can any Math Expert willing to help me out? How do you solve this?

cot ( π/6 ) = 1/ tan ( π/6 )
A) √3
B) √3/3
C) √3/2
D) 1/√3

Answer 1

To solve for cot ( π/6 ), you take the reciprocal of tan ( π/6 ), which is √3/3, thus cot ( π/6 ) equals √3 (Option A).

Step-by-step explanation:

To solve for cot ( π/6 ), we use the trigonometric identity that cotangent is the reciprocal of tangent, which can be written as cot(θ) = 1/tan(θ). Therefore, cot ( π/6 ) = 1/tan ( π/6 ). Now, we know that the tangent of π/6, or 30 degrees, equals √3/3. Taking the reciprocal of this, we find that cot ( π/6 ) is √3.

The process of solving this involves recalling the value of tan ( π/6 ) and computing its reciprocal. Since the tangent of π/6 is √3/3, the cotangent (or reciprocal) would be √3. Therefore, the correct answer to the question is A) √3.