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Advanced Functions

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Determine the solutions for:

(cos x)/(1 + sinx) + (1 + sinx)/(cosx) = 2

in the interval x is all real numbers, such that [-2 pi, 2pi]

  • Advanced Functions -

    Multiply each term by cosx(1+sinx)

    cos^2(x) + 1 + 2sinx + sin^2(x) = 2cosx(1+sinx)
    2 + 2sinx = 2cosx(1+sinx) , recall sin^2(x) + cos^2(x) = 1

    2(1 + sinx) = 2cosx(1+sinx)

    now divide by 1+sinx to get

    1 = cosx

    for the given domain, x = -2pi,0,2pi

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