Multiple Choice Questions on The maximum value of sin x pi 5 cos x pi 5 where x 0 pi 2 is attained at ........ for NDA Exam Preparation

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Multiple Choice Questions

The maximum value of sin x pi 5 cos x pi 5 where x 0 pi 2 is attained at ........

Mathematics (NDA) Trigonometry
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    The maximum value of sin(x+π/5) + cos(x+π/5) , where x \in (0, π/2) is attained at

    π/20

    Correct Answer

    π/15

    Incorrect Answer

    π/10

    Incorrect Answer

    π/2

    Incorrect Answer
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    Explanation:

    f(x)=sin(x+π/5) + cos(x+π/5)
    =√2 sin(x+π/5+π/4)
    f(x) is maximum when x +π/5 +π/4 =π/2
    => π/20

    By: Munesh Kumari
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