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    Question

    If cos θ = 3/5, find the value of sin

    2θ:
    A 12/25 Correct Answer Incorrect Answer
    B 24/25 Correct Answer Incorrect Answer
    C 16/25 Correct Answer Incorrect Answer
    D 32/25 Correct Answer Incorrect Answer

    Solution

    sin 2θ = 2sin θ cos θ We know cos θ = 3/5, and sin² θ + cos² θ = 1, so sin θ = 4/5 sin 2θ = 2 * (4/5) * (3/5) = 24/25 Correct option: b

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