Question

Which is a solution of tan x + sqrt 3/3? Give your answer in radians.

A) 0.65
B) pi/6
C) pi/3
D) 6.15

Answer 1

b.

Explanation:

pi/6

Answer 2

The correct option is B. pi/6

Explanation:

`\text{We are given a equation : }\tan x =(√(3))/(3)`

We need to find the solution of this given equation, so first rationalizing the R.H.S. of the given equation.

`\implies\tan x=(√(3))/(3)\\\\\implies \tan x=(√(3))/(3)* (√(3))/(√(3))\\\\\implies\tan x=(3)/(3√(3))\\\\\implies\tan x=(1)/(\sqrt3)\\\\ \implies x =\tan^(-1)(1)/(\sqrt3)\\\\\implies x =\tan^(-1)\tan(\pi)/(6)\\\\\implies\bf x =(\pi)/(6)`

Therefore, The correct option is B. pi/6