Question

Given that sin 2α = `sqrt3/2`, the value of sin 3α is ______.

विकल्प

• `(3sqrt3)/4`

• `1/2`

• 1

• `sqrt3/4`

Answer 1

Given that sin 2α = `sqrt3/2`, the value of sin 3α is 1.

Explanation:

sin 2α = `sqrt3/2`

2α = 60°

α = `(60°)/2`

α = 30°

sin 3α = 3(30°) 

= 90°

∴ sin 90° = 1