Q. 495.0( 4 Votes )

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

Answer :

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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