Multiple Choice Questions on Suppose 0 lt theta lt 90o then for every theta 4sin2 theta 1 is greater than or equal to ........ for CDS Exam Preparation

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Multiple Choice Questions

Suppose 0 lt theta lt 90o then for every theta 4sin2 theta 1 is greater than or equal to ........

Quantitative Aptitude (CDS) Trignometry
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    Suppose 0 < θ < 90o, then for every θ  4sin2 θ + 1 is greater than or equal to ?

    2

    Incorrect Answer

    4 sin θ

    Correct Answer

     4 cos θ

    Incorrect Answer

    4 tan θ

    Incorrect Answer
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    Explanation:

    We know that,
    Arithmetic mean ≥ Geometric mean
    (4sin2 θ + 1)/2 ≥ √4sin2θ .1
    4sin2 θ + 1 ≥ 2.2 sin θ
    4sin2 θ + 1 ≥ 4sin θ

    By: Munesh Kumari
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