Question

If `2 sin 2θ = sqrt(3)` and 0° < 2θ < 90°, then θ is equal to ______.

विकल्प

• 20°

• 30°

• 15°

• 60°

Answer 1

If `2 sin 2θ = sqrt(3)` and 0° < 2θ < 90°, then θ is equal to 30°.

Explanation:

`2 sin 2θ = sqrt(3)`

⇒ `sin 2θ = sqrt(3)/2`. 

With 0° < 2θ < 90°.

The principal solution is 2θ = 60°.

So, θ = 30°.