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      Question

      If 2sin y + cos y = √3 sin y, then find the value of

      tan y
      A √3 – 2 Correct Answer Incorrect Answer
      B √3 –1 Correct Answer Incorrect Answer
      C √3 + 2 Correct Answer Incorrect Answer
      D √5 + 1 Correct Answer Incorrect Answer

      Solution

      2sin y + cos y = √3 sin y siny (√3-2) = cos y tan y = 1/ (√3-2) tany = (√3+2) / (√3+2) × (√3-2)   tany = √3 + 2 The value of tany is √3 + 2.

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