To find the product and express the results in rectangular form.
Answer to Problem 25E
The value of product is
Explanation of Solution
Given information:
The equation is
Calculation:
The product can be obtained as
First convert the rectangular form of the given
First find the absolute value of r
Now find the value of
The complex number is in the fourth coordinate
So,
Therefore, the polar form is
Again convert the rectangular form of the given complex number to polar form
First find the absolute value of r
Now find the value of
The complex number is in the third coordinate
So,
Therefore, the polar form is
Find the modulus and amplitude of the product.
And
The product is
Now find the rectangular form of the product.
The rectangular form of the product is
Hence,
The value of product is
Chapter 9 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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