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Show that x=0 is the only solution satis...

Show that `x=0` is the only solution satisfying the equation `1+sin^(2) ax=cos x`, where a is irrational.

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Knowledge Check

  • The value of x in (0,pi/2) satisfying the equation sin x cos x =1/4 is

    A
    `pi/6`
    B
    `pi/3`
    C
    `pi/8`
    D
    `pi/12`

  • The general solution of the equation sin 2x + 2sin x +2 cos x+ 1 = 0 is

    A
    `3n pi - pi/4`
    B
    `2n pi - pi/4`
    C
    `2npi + (-1)^n sin^(-1) ((1)/(sqrt3))`
    D
    `npi - pi/4`

  • Number of values of x satisfying the equation sin^(-1) x^2 = cos^(-1) (x^2 - 1) is

    A
    5
    B
    4
    C
    3
    D
    2

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    What is the value of x that satisfies the equation cos^(-1)x=2sin^(-1)x?

    What is the value of x that satisfies the equation cos^(-1) x = 2 sin^(-1) x ?

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