Question

If cotθ = 1/√3 verify that 1-cos2θ / 2-sin2θ = 3/5: .

Answer 1

Answer:

Given cot θ=1/root3

θ =cot-11/root 3

θ =60 substitute θ value in the given equation

1-cos2 θ /2-sin2 θ

=1-cos260/2-sin260

We know cos 60=1/2 & sin 60 =root3/2

=1-(1/2)2/2-(root3/2)2

=(1-1/4)/(2-3/4)

=(3/4)/(5/4)

=3/5