If √3 tan θ = 3 sin θ, prove that (sin 2 θ – cos 2 θ) = 1/3.

Question

Philoid · Accepted Answer

Given: √3 tanθ = 3 sinθ

⇒

Also, we know,

⇒

Now, we need to prove that:

sin²θ – cos²θ = 1/3

⇒ L.H.S =

⇒ L.H.S = 1/3