# SOLUTION: log (1 + cos x + i sin x)/(cos x – 1 – i sin x)

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 Question 14373: log (1 + cos x + i sin x)/(cos x – 1 – i sin x)Answer by khwang(438)   (Show Source): You can put this solution on YOUR website! log Multiplying the complex conjugate of the denominator. Since z = = = = = = = = (polar coordinates) ...(***) The definition of log z for complex number may be beyond your level. Anyway,I give it here. If the polar form for z = r , Here, by (***) the given z = (where the radius r = |sin x/(cos x (1-cos x ) )|, the argument ) Hence, the natural logarithm ln(z). ln(z) = ln(r) + i * theta = ln|sin x| - ln|cosx (1-cos x) + i ... Answer This is a very boring question about calculations, try your best to understand the details. Kenny