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      Question

      If 2sin y + cos y = √5 sin y, then find the value of

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

      Solution

      2sin y + cos y = √5 sin y siny ( √ 5-2) = cos y tan y = 1/ (√5-2) tany = (√5+2) / (√5+2) Γ— (√5-2) β‡’ tany = √5 + 2 The value of tany is √5 + 2.

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