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General solution
Cos^2 +3sin= -3

  • math -

    cos^2 x + 3sinx = -3
    1 - sin^2 x + 3sinx + 3 = 0
    sin^2 x - 3sinx - 4 = 0
    (sinx -4)(sinx + 1) = 0
    sinx = 4 , which is not possible
    sinx = -1
    x = 3π/2
    since the period of sinx is 2π

    general solution:
    x = 3π/2 + 2kπ, where k is an integer.

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