How do you multiply #e^((17 pi )/ 12 ) * e^( pi/4 i ) # in trigonometric form?

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Answer 1 · 2018-07-27T14:41:55

#color(purple)(=> 60.5825 - 60.5825 i)#

#e^((17pi)/12) * e^((pi/4)i)#

#e^((pi/4)i) = cos (pi/4) + i sin(pi/4)#

#=> 1/sqrt2 + (1/sqrt2) i #

#e^((17pi)/12) ~~ 85.6774#

#e^((17pi)/12) * e^((pi/4)i) = 85.6774 * (0.7071 - 0.7071 i)#

#color(purple)(=> 60.5825 - 60.5825 i)#