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How do you multiply #e^(( 7 pi )/ 12 i) * e^( 3 pi/2 i ) # in trigonometric form?

1 Answer

Apr 3, 2018

#e^(ix) = cosx + isinx#
#e^(((7pi)/12)i) = cos((7pi)/12) + isin((7pi)/12)#
#e^(((3pi)/2)i) = cos((3pi)/2) + isin((3pi)/2)#

Explanation:

Euler's identity. Multiply the equivalent trigonometric expressions and simplify.

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