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What is the product of 3√6cis(π8) and 2√5cis(7π6)?

Enter your answer by filling in the boxes. Enter the all values rounded to the nearest hundredth.

 

 

answer in form of :   ___ cis  (___)

 Apr 25, 2022
 #1
avatar+124595 
-1

Don't know a heck of a lot about this  but

 

To multiply two complex numbers, you multiply their magnitudes and add their angles......

 

So we should have

 

 3 * sqrt (6)  * 2sqrt (5)     cis  [  ( pi/8  + (7pi / 6)  ]   =

 

6 sqrt (30) cis ( [ 3pi  + 28pi ] / 24 )  =

 

6sqt (30)  cis  ( 31 pi / 24 )

 

 

cool cool cool

 Apr 25, 2022

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