Multiple Choice Questions on What is the maximum value of 16 sin theta ndash 12sin2 theta ........ for NDA Exam Preparation

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Multiple Choice Questions

What is the maximum value of 16 sin theta ndash 12sin2 theta ........

Mathematics (NDA) Trigonometry
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    What is the maximum value of 16 sin θ – 12sin2 θ ?

    3/4

    Incorrect Answer

    4/3

    Incorrect Answer

    16/3

    Correct Answer

    4

    Incorrect Answer
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    Explanation:

    Let sin θ=x ,clearly x \in [-1,1]
    Now f(x) =-12x2 +16 x=-12(x-2/3)2+16/3 for x \in [-1,1],
    maximum value=16/3

    By: Munesh Kumari
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