Question

sin 4θ can be written as ______.

Options

• `4 sin θ(1 - 2 sin^2 θ) sqrt(1 - sin^2 θ)`

• 2 sin θ cos θ sin² θ

• 4 sin θ – 6 sin³ θ

• None of the above

Answer 1

sin 4θ can be written as `underlinebb(4 sin θ(1 - 2 sin^2 θ) sqrt(1 - sin^2 θ))`.

Explanation:

sin 4θ = 2 sin 2θ cos 2θ 

= 2.2 sin θ cos θ(1 – 2 sin² θ)

= `4 sin θ(1 - 2 sin^2 θ) sqrt(1 - sin^2 θ)`