Explanation Given information: z 1 = 8 ( cos 72 ∘ + i sin 72 ∘ ) z 2 = 4 ( cos 12 ∘ + i sin 12 ∘ ) Concept Involved: The rectangular form is where the respective horizontal and vertical components indicate a complex number . The angled vector is essentially considered to be the hypotenuse of a right triangle, which is described by the lengths of the adjacent and opposite sides. The horizontal component is called the real component. And the vertical component is the imaginary component. Since the given values are in the form of polar. By using below formula z 1 = r 1 ( cos θ 1 + i sin θ 1 ) z 2 = r 2 ( cos θ 2 + i sin θ 2 ) z 1 z 2 = r 1 r 2 [ cos ( θ 1 − θ 2 ) + i sin ( θ 1 − θ 2

Precalculus: A Unit Circle Approach (3rd Edition)

3rd Edition

ISBN: 9780134433042

Author: J. S. Ratti, Marcus S. McWaters, Leslaw Skrzypek

Publisher: PEARSON

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Chapter 6.7, Problem 49E

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Calculate z1z2 in rectangular form

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Chapter 6.7, Problem 48E

Chapter 6.7, Problem 50E

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Chapter 6 Solutions

Precalculus: A Unit Circle Approach (3rd Edition)

Ch. 6.1 - If is an acute angle in a right triangle, then...Ch. 6.1 - The sum of the two acute angles in a right...Ch. 6.1 - If is an acute angle (measured in degrees) in a...Ch. 6.1 - When looking down, the acute angle between the...Ch. 6.1 - True or False. If 0 is an acute angle in a right...Ch. 6.1 - True or False. The leg adjacent to angle in a...Ch. 6.1 - True or False. The length of the hypotenuse of a...Ch. 6.1 - True or False. We can solve a right triangle if...Ch. 6.1 - In Exercises 9—14, find the exact values for the...Ch. 6.1 - In Exercises 9-14, find the exact values for the...

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Calculate z 1 z 2 in rectangular form

Solution Summary: The author explains that the rectangular form is where the respective horizontal and vertical components indicate a complex number.

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Calculate z1z2 in rectangular form

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