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("sin x - cos x")^(2) =1- sin 2x...

`("sin x - cos x")^(2) =1- sin 2x `

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Knowledge Check

  • int_0^(pi//2)((sin x + cos x)^2)/(sqrt(1 + sin 2x)) dx =

    A
    `0`
    B
    `1`
    C
    `2`
    D
    `3`

  • If (sin x + cos x)^(1 + sin 2 x) = 2, - pi le x le pi , then x is

    A
    `pi//4`
    B
    `pi//2`
    C
    `pi`
    D
    none

  • The value of int _(0)^(pi//2) ((sin x + cos x)^(2))/(sqrt(1+sin 2x) dx is

    A
    0
    B
    1
    C
    2
    D
    3

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