If 7 sin2θ + 3 cos2θ = 4, show that tan θ =
Given: 7 sin2 θ + 3 cos2 θ = 4
Since sin2 θ + cos2 θ = 1 …Equation 1
So the equation becomes
4 sin2 θ = 1
⇒ sin2 θ =
From Equation 1 we get
cos2 θ =
Since
⇒
Hence Proved