Write the number in polar form with argument between 0 and 2π.
29.
To find: The polar form of
Answer to Problem 29E
The polar form of the complex number
The polar form of the complex number
The polar form of the complex number
Explanation of Solution
Formula used:
Let
Calculation:
It is given that
Rewrite the complex number
The polar form of the complex number
Consider the complex number
Obtain the argument of the complex number
Thus, the argument of argument of the complex number
Obtain the modulus of the complex number
Thus, the value of
Thus, the polar form of the complex number
Similarly, obtain the polar form of the complex number
The argument of argument of the complex number
The modulus of the complex number
Thus, the polar form of the complex number
Use the above formula to obtain the polar of the complex number
Here,
Thus, the polar form of the complex number
Compute the polar form of the complex number
Thus, the polar form of the complex number
Obtain the polar form of the complex number
Thus, the polar form of the complex number
Chapter I Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
Additional Math Textbook Solutions
Precalculus
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus: Mathematics for Calculus (Standalone Book)
Precalculus: Mathematics for Calculus - 6th Edition
Precalculus: A Unit Circle Approach (3rd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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