6.) 12i + 24i 24

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Question
The image displays a mathematical expression:

6.) \( 12i^{10} + 24i^{24} \)

This expression involves the imaginary unit \( i \), where \( i \) represents the square root of -1. The terms \( 12i^{10} \) and \( 24i^{24} \) involve powers of \( i \). In mathematics, simplifying powers of \( i \) can be achieved using the cyclical property \( i^4 = 1 \). 

For further exploration and simplification:
- \( i^2 = -1 \)
- \( i^3 = -i \)
- \( i^4 = 1 \) 

These properties repeat cyclically for higher powers of \( i \).
Transcribed Image Text:The image displays a mathematical expression: 6.) \( 12i^{10} + 24i^{24} \) This expression involves the imaginary unit \( i \), where \( i \) represents the square root of -1. The terms \( 12i^{10} \) and \( 24i^{24} \) involve powers of \( i \). In mathematics, simplifying powers of \( i \) can be achieved using the cyclical property \( i^4 = 1 \). For further exploration and simplification: - \( i^2 = -1 \) - \( i^3 = -i \) - \( i^4 = 1 \) These properties repeat cyclically for higher powers of \( i \).
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning