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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 9: Q. 32 (page 592)

In Problems $23 - 32$ , write each complex number in rectangular form.
$3 (\cos \frac{蟺}{10} + i \sin \frac{蟺}{10})$

Short Answer

Expert verified

The rectangular form of the complex number $3 (\cos \frac{蟺}{10} + i \sin \frac{蟺}{10})$ is, $2.85 + 0.927 i$ .

Step by step solution

01

Step 1 Given complex number is,

$3 (\cos \frac{蟺}{10} + i \sin \frac{蟺}{10})$ .

We can simplify the terms inside the bracket and write it in the rectangular form.

$z = 3 (\cos \frac{蟺}{10} + i \sin \frac{蟺}{10}) z = 3 (0.95 + 0.309 i)$

02

Step 2 Now write the obtained rectangular form.

The rectangular form of the complex number $3 (\cos \frac{蟺}{10} + i \sin \frac{蟺}{10})$ is, $2.85 + 0.927 i$ .

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Most popular questions from this chapter

Write the expression in the standard form $a + i b$ .

role="math" localid="1646666471780" ${[2 (\cos \frac{蟺}{10} + i \sin \frac{蟺}{10})]}^{5}$

In Problems 39鈥�54, the polar coordinates of a point are given. Find the rectangular coordinates of each point.

$(- 3.1, 182 掳)$

In Problems 11鈥�22, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees.

$3 - 4 i$ .

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

$(5, 300 掳)$

The difference formula for cosine is $\cos (A - B) =________.$

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