Chapter 9: Q. 10 (page 631)

In Problems 10–12, perform the given operation, where $z = 2 (\cos 85 ° + i \sin 85 °)$ and $w = 3 (\cos 22 ° + i \sin 22 °)$ . Write your answer in polar form.
$z \cdot w$

Short Answer

Expert verified

The answer is $z \cdot w = 6 (\cos 107 ° + i \sin 107 °)$

Step by step solution

Step 1. Given information

We have been given $z = 2 (\cos 85 ° + i \sin 85 °)$ and localid="1646898828569" $w = 3 (\cos 22 ° + i \sin 22 °)$ .

We have to perform the operation $z \cdot w$

Step 2. Perform the operation

$z \cdot w = 2 (\cos 85 ° + i \sin 85 °) \times 3 (\cos 22 ° + i \sin 22 °) = 6 [\cos (85 ° + 22 °) + i \sin (85 ° + 22 °)] = 6 (\cos 107 ° + i \sin 107 °)$

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In Problems 10–12, perform the given operation, where $z = 2 (\cos 85 ° + i \sin 85 °)$ and $w = 3 (\cos 22 ° + i \sin 22 °)$ . Write your answer in polar form.
$z \cdot w$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Perform the operation

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In Problems 10–12, perform the given operation, where z=2cos85°+isin85°and w=3cos22°+isin22°. Write your answer in polar form.z·w

Short Answer

Step by step solution

Step 1. Given information

Step 2. Perform the operation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

In Problems 10–12, perform the given operation, where $z = 2 (\cos 85 ° + i \sin 85 °)$ and $w = 3 (\cos 22 ° + i \sin 22 °)$ . Write your answer in polar form.
$z \cdot w$