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Let ⎭ ⎬ ⎫ ⎩ ⎨ ⎧ θ = θ + θ θ ⎭ ⎬ ⎫ ⎩ ⎨ ⎧ π ± π π ∈ θ = 2 sin tan tan sin : 2 – ] , [– S . If T = ∑ ∈ θ θ S 2 cos , then T + n(S) is equal to -

  1. 7 + 3
  2. 9
  3. 8 + 3
  4. 10

Correct answer: 9

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