Question

If √3 tan θ=3 sin θ,then find the value of sin ^2θ-cos^2θ

Answer 1

Answer:

The answer is 1/2.

Step-by-step explanation:

First you have to figure out the value of θ.

√3tanθ=3

tanθ=3/√3

tanθ = tan60°

θ = 60°

Now,

sin^2 θ - cos^2 θ

= sin^2 60 - cos^2 60

= (√3/2)^2 - (1/2)^2

= 3/4 - 1/4

= 2/4

= 1/2(Ans)