Question

The number of solutions of `sin^2 theta = 1/2` in [0, π] is ______.

Options

• three

• four

• two

• one

Answer 1

The number of solutions of `sin^2 theta = 1/2` in [0, π] is two.

Explanation:

We have, `sin^2theta = 1/2 => sin theta = +- 1/sqrt2`

We know, θ ∈ [0, π] sine is positive

∴ sin θ = sin 45°, sin(180° - 45°) i.e. sin 135°