Multiple Choice Questions on Evaluate cos2 45 deg sin2 15 deg ........ for Mathematics - All Exams Preparation

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Multiple Choice Questions

Evaluate cos2 45 deg sin2 15 deg ........

Quantitative Aptitude ( CCS) Trignometry
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    Evaluate: cos2 45° - sin2 15°.

    1 /√2

    Incorrect Answer

    √2/3

    Incorrect Answer

    √3/4

    Correct Answer

    √4

    Incorrect Answer
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    Explanation:

    We know that,
    cos2 Θ - sin2 Φ = cos (Θ + Φ). cos(Θ - Φ).
    ∴ cos2 45° - sin2 15° =
    cos (45° + 15°). cos (45° - 15°)
    =   cos 60° . cos 30° = 1/2 x √3/2 = √3/4

    By: Amit Kumar
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