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Trigonometry

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Product Complex Numbers, Euler’s Formula, Rectangular Form

TRIG-P5BVQO

What is product of $ 4{e^{i\frac{\pi }{4}}}\,\cdot\,9{e^{i\frac{{5\pi }}{6}}}$ written in rectangular form? (Round your answer to the nearest thousandth)

A

$ 34.773 + 9.317i$

B

$ - 9.317 – 34.773i$

C

$ 36i$

D

$ - 34.773 - 9.317i$