Question

What is the value of cot 5π/3?

A) 1/√3 B) -1/√3 C) √3 D) -√3

Answer 1

Answer:

A) 1/√3

Step-by-step explanation:

We know that,

$\pi = 180°$

So,

$\frac{5\pi}{3 } = 300°$

Thus the question can be rewritten as,

$\cot( \frac{5\pi}{3}° ) = \cot(300°)$

$= \cot(360 - 60)° = \cot(60°)$

As 360-theta belongs to first quadrant, the values for cot is positive

$\cot(60°) = \frac{1} \sqrt{3} }$