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Find the number of solutions of the equa...

Find the number of solutions of the equations
` (sin x - 1)^(3) + (cos x - 1)^(3) + ( sin x)^(3) = ( 2 sin x + cos x - 2)^(3) ` in `[ 0, 2 pi] `.

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The correct Answer is:
5
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The Number of solutions of the equation (sin x-1)^(3)+(cos x-1)^(3)+(sin x)^(3)=(2sin x+cos x-2)^(3) in [0,2 pi] is a) 5 ,b) 2 ,c) 3, d) 4

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Knowledge Check

  • Number of solutions of the equation (sin^(-1)x)^(3) + (cos^(-1)x)^(3) = 2pi^(3) is

    A
    0
    B
    1
    C
    2
    D
    infinite

  • The number of solutions of the equation "sin" x = "cos" 3x "in" [0, pi] is

    A
    1
    B
    2
    C
    3
    D
    4

  • The number of solutions of the equation sin^(-1) (cos 3x) + cos^(-1) (sin 3x) = pi/2 , x is/a in[-pi, pi]

    A
    2
    B
    3
    C
    5
    D
    6

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