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The number of solutions of equations `sin2x + cos2 x + sinx + cosx + 1 = 0` in `[0, 2pi]` is

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Knowledge Check

  • The number of solution (s) of the equation sin^4 x + cos^4 x = sinx cosx in [0 , 2pi]

    A
    2
    B
    3
    C
    0
    D
    4

  • The number of solutions of the equation "sin" x = [1+"sin" x] + [1 -"cos" x] "in" [0, 2pi] is

    A
    0
    B
    1
    C
    2
    D
    6

  • Number of solution of the equation sin 2x + cos 2x + sin x + cos x + 1 = 0 In the interval, (0, pi//2) is

    A
    0
    B
    1
    C
    2
    D
    none of these

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