# If 7 sin2 θ + 3 cos2 θ =4, find the value of tan θ.

Given : 7 sin2 θ + 3 cos2 θ =4

7 sin2 θ + 3(1– sin2 θ) = 4 [ sin2 θ + cos2 θ = 1]

7 sin2 θ + 3 –3 sin2 θ = 4

4 sin2 θ = 4 – 3

4 sin2 θ = 1

Put the value of in given equation, we get

Now, we know that tan θ

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