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If 2 sin^(2) ((pi//2) cos^(2) x)=1-cos (...

If `2 sin^(2) ((pi//2) cos^(2) x)=1-cos (pi sin 2x), x ne (2n + 1) pi//2, n in I`, then `cos 2x` is equal to

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Knowledge Check

  • int_(0)^(pi//2) ( cos x - sin x )/( 2 + sin x cos x ) dx is equal to

    A
    0
    B
    `(pi)/( 6)`
    C
    `(pi)/( 4)`
    D
    `(pi)/( 2)`

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