Question

If 7 sin^2 θ +3 cos 2 θ= 4 , then show that tan θ = 1/√3

Answer 1

Answer:

Step-by-step explanation:

7sin²θ + 3cos²θ = 4

7sin²θ + 3 cos²θ = 4(sin²θ + cos²θ)

3sin²θ = cos²θ

sin²θ/cos²θ = 1/3

sinθ/cosθ = ± 1 / √3

tanθ = ± 1 / √3