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) × (√5-2) ⇒ tany = √5 + 2 The value of tany is √5 + 2.

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