Let S = {θ ∈ [-π, π] - { ±π/2}: sin θ tan θ + tan θ = sin 2θ}. If T = Σcos θ, θ ∈ s, then T + n(S) is equal

Question

Let S = {θ ∈ [-π, π] - { ±π/2}: sin θ tan θ + tan θ = sin 2θ}. 

If T = \(\sum\limits_{\theta\in s}\)cos2θ, then T  + n(S) is equal

(A) 7 + √3 

(B) 9

(C) 8 + √3

(D) 10

Answer 1

Correct option is (B) 9