How do I write arcsin i in the form a+ib, where a and b are real numbers?

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- Feb 8th 2008, 05:45 AMfree_to_flyInverse Trig functions
How do I write arcsin i in the form a+ib, where a and b are real numbers?

- Feb 8th 2008, 06:46 AMPlato
$\displaystyle \arcsin (z) = - i\log \left[ {iz + \left( {1 - z^2 } \right)^{1/2} } \right]$