Mathematics: Q7 q26.) find the quotient of the complex numbers and leave your answer in polar form.

Another was to name it is TSU....

Q7 q26.) find the quotient of the complex numbers

Ответ:

joelpimentel

13.03.2022

For any complex numbers in polar form $c_1 = r_1\text{cis}(\theta_1),\ c_2 = r_2\text{cis}(\theta_2)$

(Where $\text{cis}(\theta) = \cos(\theta) + i\sin(\theta)$ )

Then $\dfrac{c_1}{c_2} = \dfrac{r_1}{r_2}\text{cis}(\theta_1-\theta_2)$

So then for your problem, that would be

$\dfrac{z_1}{z_2} = \dfrac37\text{cis}\left(\dfrac\pi8-\dfrac\pi9\right)=\boxed{\dfrac37\text{cis}\left(\dfrac\pi{72}\right)}$

So that would be $\boxed{\dfrac37\left(\cos\left(\dfrac\pi{72}\right)+i\sin\left(\dfrac\pi{72}\right)\right)}$

Hope this helps.

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Q7 q26.) find the quotient of the complex numbers and leave your answer in polar form.

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