Question

Find the quotient z/w if z=12[cos(5pi/18) +isin(5pi/18)] and w=4[cos(7pi/36) +isin(7pi/36)]

Answer 1

why dont you first transform them into the form \[r*e^{(i*\Theta)}\]

Answer 2

then you would have fraction of exponents so you would just substract the exponents

Answer 3

@Lills knock,knock understand what he means?

Answer 4

My Internet went out, but I'm not exactly sure what he means

Answer 5

subtract the angles

Answer 6

\(12\div 4=3\) and \(\frac{5\pi}{18}-\frac{7\pi}{36}\) will give you the angle you need

Answer 7

that is why this easy and not hard
it is just a subtraction problem

Answer 8

but the condition is student know what the Euler number is, hehehe. me not for example

Answer 9

??

Answer 10

I'm not quite sure i understand

Answer 11

hahahaha..... that can be foreseen.

Answer 12

in plain english
subtract the angles when you divide

Answer 13

Like how to write the final answer

Answer 14

\[r_1\left(\cos(\theta)+i\sin(\theta)\right)\div r_2\left (\cos(\alpha)+i\sin(\alpha)\right)\]
\[=\frac{r_1}{r_2}\left (\cos(\theta-\alpha)+i\sin(\theta-\alpha)\right)\]

Answer 15

in your case \(12\div 4=3\) so that goes out front

Answer 16

your next job is only to compute
\[\frac{5\pi}{18}-\frac{7\pi}{36}\]

Answer 17

i totaly forgot about that formula , i guess hes supposed to use that formula not convert

Answer 18

right
it is just a subtraction problem
that is all

Answer 19

Please, first off, the asker has to know about Euler formula. what if he/she didn't know about it?

Answer 20

no

Answer 21

divide the modulus
subtract the anglers
that is all

Answer 22

So the final answer would be 3(cos(pi/12)+isin(pi/12) ?

Answer 23

yes, that is it

Answer 24

easy right? boils down only to dividing 12 by 4 and subtraction
that is why you write complex numbers in this form
makes the calculation really really easy

Answer 25

Yes thank you so much for your help tonight!