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Math Help - Complex analysis problem

  1. #1
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    Complex analysis problem

    I'm stuck on this complex analysis problem: Determine all values of arcsin (i) and identify a value corresponding to the principal values of the logarithm and sq. root functions
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  2. #2
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    Quote Originally Posted by sonicoverdrive View Post
    I'm stuck on this complex analysis problem: Determine all values of arcsin i and identify a value corresponding to the principal values of the logarithm and sq. root functions
    Start with the definitions of the complex arcsin function, complex log function and square root function. Where are you stuck?
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  3. #3
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    I guess I'm just not sure where to get started. arcsin i could be represented by n2pi + pi/2 but I don't understand how I can find a value corresponding to the principal values. I believe log z = ln |z| + jArg(z) and sqroot(z) = sqroot (a^2+b^2)e^(jArg(z)/2)

    Could the principal value be anywhere from -pi to pi?
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