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The number of real solution of the equat...

The number of real solution of the equation `sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi`, is

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The correct Answer is:
`x = (pi)/(4), (-3pi)/(4)`
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Knowledge Check

  • The number of real solutions of the equation tan^(-1) sqrt( x ( x + 1)) + sin^(-1) sqrt(x^(2) + x + 1) = (pi)/(2) is

    A
    infinitely many
    B
    one
    C
    four
    D
    two

  • The number of real solutions of the equation : cos^(7)x + sin^(4)x = 1 in the interval [-pi,pi] is :

    A
    2
    B
    3
    C
    5
    D
    None of these.

  • The number of real solutions of the equation tan ^(-1) sqrt(x(x+1))+sin ^(-1) sqrt(x^(2)+x+1)=(pi)/(2) is

    A
    two
    B
    one
    C
    zero
    D
    infinitely many

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