Question

If root 3 tan 2 theta -3 = 0 then find theta

Answer 1

Given : √3 tan(2θ) - 3 = 0

To find : Value of θ

Solution:

From the given equation, we have:

⇒√3 tan(2θ) - 3 = 0

⇒√3 tan(2θ) = 3

⇒ tan(2θ) = 3/√3

⇒ tan(2θ) = √3

We know that tan ϕ is equal to √3 when ϕ = 60°.

Therefore, 2θ = 60°.

⇒ 2θ = 60°

⇒ θ = 60°/2

⇒ θ = 30°

So the required value of θ is 30° [Option (c) is correct]