Question

If 7sin2θ+3cos2θ=4 , then tanθ=​

Answer 1

Question:

If 7sin2θ+3cos2θ=4 , then tanθ=​

Answer:

tanθ = ±√1/3

Step-by-step explanation:

Given => sin2θ+3cos2θ=4

To find => tanθ

Dividing both sides of the equation by cos2θ we have:

7tan2θ  +3 = 4sec2θ = 4(1+tan2θ)

7tan2θ + 3 = 4 + 4tan2θ

⇒ 3tan2θ = 1

tanθ = ±√1/3

Hope you understand.

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