Question

The number of principal solutions of tan 2θ = 1 is ______.

Options

• one

• two

• three

• four

Answer 1

The number of principal solutions of tan 2θ = 1 is two.

Explanation:

We have, tan2θ = 1.

Here, the value of tan2θ is positive. So, θ lies in Ist and 3rd quadrants.

∴ Number of principal solution of tan2θ = 1, is two.