Multiple Choice Questions on The minimum value of cos2x cos2y cos2z is ........ for CDS Exam Preparation

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Multiple Choice Questions

The minimum value of cos2x cos2y cos2z is ........

Quantitative Aptitude (CDS) Trignometry
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    The minimum value of cos2x + cos2y - cos2z is

    -1

    Correct Answer

    0

    Incorrect Answer

    1

    Incorrect Answer

    2

    Incorrect Answer
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    Explanation:
    0≤cos2x≤1.....(1)
    0≤cos2y≤1....(2)
    0≤cos2z≤1
    ⇒−1≤−cos2z≤0...(3)
    Adding (1), (2) and (3), we have
    ⇒−1≤cos2x+cos2y−cos2z≤2
    Thus, the minimum value of
    cos2x+cos2y−cos2z is −1

    By: Munesh Kumari
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