Explanation Given: w = − 1 + i z = − 1 − i and from Exercise 46, w = 2 ( cos 135 ° + i sin 135 ° ) z = 2 ( cos 225 ° + i sin 225 ° ) Calculation: By using the product theorem [ r 1 ( cos θ 1 + i sin θ 1 ) ] ⋅ [ r 2 ( cos θ 2 + i sin θ 2 ) ] = r 1 r 2 [ cos ( θ 1 + θ 2 ) + i

11th Edition

ISBN: 9780134217437

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

Publisher: PEARSON

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Chapter 8.3, Problem 47E

To determine

To calculate: The multiplication of w and z using their trigonometric forms if

w=−1+iz=−1−i

and from Exercise 46,

w=2(cos135°+isin135°)z=2(cos225°+isin225°)

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Chapter 8.3, Problem 46E

Chapter 8.3, Problem 48E

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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

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The multiplication of w and z using their trigonometric forms if w = − 1 + i z = − 1 − i and from Exercise 46, w = 2 ( cos 135 ° + i sin 135 ° ) z = 2 ( cos 225 ° + i sin 225 ° )

Solution Summary: The author calculates the multiplication of w and z using their trigonometric forms.

Videos

To calculate: The multiplication of w and z using their trigonometric forms if

w=−1+iz=−1−i

and from Exercise 46,

w=2(cos135°+isin135°)z=2(cos225°+isin225°)

Want to see the full answer?

Chapter 8 Solutions

The multiplication of w and z using their trigonometric forms if w = − 1 + i z = − 1 − i and from Exercise 46, w = 2 ( cos 135 ° + i sin 135 ° ) z = 2 ( cos 225 ° + i sin 225 ° )

Solution Summary: The author calculates the multiplication of w and z using their trigonometric forms.

Videos

To calculate: The multiplication of w and z using their trigonometric forms if w=−1+iz=−1−i and from Exercise 46, w=2(cos135°+isin135°)z=2(cos225°+isin225°)

Want to see the full answer?

Chapter 8 Solutions

To calculate: The multiplication of w and z using their trigonometric forms if

w=−1+iz=−1−i

and from Exercise 46,

w=2(cos135°+isin135°)z=2(cos225°+isin225°)