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    Question

    The value of (sin 60 Âș cos 30 Âș - cos 60 Âș sin 30

    Âș)  is equal to:
    A (√3/2) Correct Answer Incorrect Answer
    B (1/2) Correct Answer Incorrect Answer
    C √3 Correct Answer Incorrect Answer
    D (2/√3) Correct Answer Incorrect Answer

    Solution

    (sin 60 Âș cos 30 Âș - cos 60 Âș sin 30 Âș) = √3/2 x √3/2 – 1/2 x 1/2 = 2/4 = 1/2 Alternate Solution sin A cos B - cos A sin B = sin (A - B) So, (sin 60 Âș cos 30 Âș - cos 60 Âș sin 30 Âș) = sin ( 60 Âș - 30 Âș) = sin 30 Âș = 1/2  

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