Multiple Choice Questions on Show that the value of 3 sin 15 deg ndash 4 sin3 15 deg is ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

Show that the value of 3 sin 15 deg ndash 4 sin3 15 deg is ........

Quantitative Aptitude ( CCS) Trignometry
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    Show that the value of 3 sin 15° – 4 sin3 15° is

    1/√3

    Incorrect Answer

    1/√4

    Incorrect Answer

    1/√2

    Correct Answer

    √3

    Incorrect Answer
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    Explanation:

    Using the formula
    3 sinΘ – 4 sin3Θ
    =  sin 3 Θ and putting Θ
    = 15°
    we get: 3 sin 15° – 4 sin3 15°
    =  sin(3 × 15°)  
    = sin 45°  = 1/√2

    By: Amit Kumar
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