Explanation Given: The number is − 3 + 4 i 2 − i . Calculation: Consider the information provided. Multiply both numerator and denominator by the conjugate of the denominator: − 3 + 4 i 2 − i = − 3 + 4 i 2 − i × 2 + i 2 + i = ( − 3 + 4 i ) ( 2 + i ) ( 2 ) 2 − ( i ) 2 = − 6 − 3 i + 8 i

11th Edition

ISBN: 9780134217437

Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 8.1, Problem 78E

To determine

To calculate: The quotient of −3+4i2−i.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.1, Problem 77E

Chapter 8.1, Problem 79E

Students have asked these similar questions

The difference in length of a spring on a pogo stick from its non-compressed length when a teenager is jumping on it after θ seconds can be described by the function f(θ) = 2sinθ + √2.Part A: Determine all values where the pogo stick's spring will be equal to its non-compressed length. Part B: If the angle was doubled, that is θ became 2θ, what are the solutions in the interval [0, 2π)? How do these compare to the original function?Part C: A toddler is jumping on another pogo stick whose length of its spring can be represented by the function g(θ) = 1 cos^2θ + √2. At what times are the springs from the original pogo stick and the toddler's pogo stick lengths equal?

Students were asked to prove the identity (sec x)(csc x) = cot x + tan x. Two students' work is given.Student AStep 1:1/Cos x * 1/sin x = cot x + tan xStep 2: 1/cos x sin x = cot x + tan xStep 3: (cos^2 x + sin^2 x)/cos x sin x = cot x + tan xStep 4: cos^2 x/cos x sin x + sin^2x/cos x sin x= cot x + tan xStep 5: cos x/sin x + sin x/cos x = cot x + tan xStep 6: cot x + tan x = cot x + tan xStudent BStep 1: sec x csc x = cos x/ sin xStep 2: sec x csc x = cos^2x/cos x sin x + sin^2x/cos x sin xStep 3: sec x csc x = cos^2x + sin^2x/cos x sin xStep 4: sec x csc x = 1/cos x sin xStep 5: sec x csc x = (1/cos x), (1/sin x)Step 6: sec x csc x = sec x csc xPart A: Did either student verify the identity properly? Explain why or why not. Part B: Name two identities that were used in Student A's verification and the steps they appear in.

Let sinθ = 2√2/5 and π/2 < θ < πPart A: Determine the exact value of cos 2θ.Part B: Determine the exact value of sin(θ/2)

Chapter 8 Solutions

Trigonometry (11th Edition)

Ch. 8.1 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 8.1 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 8.1 - CONCEPT PREVIEW Fill in the blank(s) to...Ch. 8.1 - CONCEPT PREVIEW Fill in the blank(s) to correctly...Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E

Knowledge Booster

$Trigonometry$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.

The quotient of − 3 + 4 i 2 − i .

Solution Summary: The author explains how to calculate the quotient of -3+4i2. Multiply both numerator and denominator by the conjugate.

Videos

To calculate: The quotient of −3+4i2−i.

Want to see the full answer?

Chapter 8 Solutions