Mathematics: What is the product of 3rad3cis(pi/8) and 3rad5cis(2pi/3)

Step-by-step explanation:we haveFor substitute the values of m and the value of n in the equationso...

What is the product of 3rad3cis(pi/8) and 3rad5cis(2pi/3)

Ответ:

jagslovegirl

28.01.2022

Mathematics

$9\sqrt{15}*cis(\dfrac{19\pi}{24})$

Step-by-step explanation:

To multiplying complex numbers in polar form, follow these steps:

Multiply the polar magnitudes of the complex numbers.Add the angles of the complex numbers.

Given the two complex number in polar form

$3\sqrt{3}\:cis(\dfrac{\pi}{8})\:\:and\:\:3\sqrt{5}\:cis(\dfrac{2\pi}{3})\\\\3\sqrt{3}\:cis(\dfrac{\pi}{8})*3\sqrt{5}\:cis(\dfrac{2\pi}{3})=(3\sqrt{3}*3\sqrt{5})*cis(\dfrac{\pi}{8}+\dfrac{2\pi}{3})$

$=9\sqrt{15}*cis(\dfrac{3\pi+8*2\pi}{24})\\\\=9\sqrt{15}*cis(\dfrac{19\pi}{24})$

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Ответ:

kayleetruman

21.02.2023

Mathematics

Step-by-step explanation:

we have

$10m+\frac{n^{2}}{4}$

For m=5.n=4

substitute the values of m and the value of n in the equation

$10(5)+\frac{4^{2}}{4}$

50+4

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What is the product of 3rad3cis(pi/8) and 3rad5cis(2pi/3)

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