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What is the product of 3√2cis(π/12) and 2√5cis(4π/3)?  Enter all values rounded to the nearest hundredth.

 

____cis(____)

 Apr 29, 2020
 #1
avatar+21953 
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[a·cis(A)] · [b·cis(B)  =  a·b·cis(A + B)

 

Multiplying  3sqrt(2) · 2sqrt(5)  =  6sqrt(10)

Adding  pi/12 + 4pi/3  =  17pi/12

 

Answer:  6sqrt(10)cis(17pi/12)

 Apr 29, 2020
 #2
avatar+652 
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Yup! I agree

LuckyDucky  Apr 29, 2020

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