Question

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

Answer 1

Answer: 34.86cis (2.49)

Step-by-step explanation: I took the quiz.

Answer 2

`9√(15)*cis((19\pi)/(24))`

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√(3)\:cis((\pi)/(8))\:\:and\:\:3√(5)\:cis((2\pi)/(3))\\\\3√(3)\:cis((\pi)/(8))*3√(5)\:cis((2\pi)/(3))=(3√(3)*3√(5))*cis((\pi)/(8)+(2\pi)/(3))`

`=9√(15)*cis((3\pi+8*2\pi)/(24))\\\\=9√(15)*cis((19\pi)/(24))`