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Chapter 9: Q. 22 (page 630)

Write each expression in the standard form a+bi

localid="1646841212188" (3cos鈦�20鈭�+isin鈦�20鈭�3

Short Answer

Expert verified

272+2732i

Step by step solution

01

Step 1. Given information

Given expression :(3cos鈦�20鈭�+isin鈦�20鈭�3

We have to write it in the standard form.

02

Step 2. Convert the given expression in the standard form

To convert complex number raised to the power n,in the standard form, we know that:

zn=rn(cos胃+isin胃)

Apply it to given expression :

z3=33cos鈦�3鈰�20鈭�+isin鈦�3鈰�20鈭�=27cos鈦�60鈭�+isin鈦�60鈭�=2712+32i=272+2732i

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Most popular questions from this chapter

Identify and graph each polar equation. Verify your graph using a graphing utility.

r=4+2sin胃

tan-1(-1)=_______

Find ||v||. If=-2i+3j

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In Problems 13鈥�28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

rsin胃=4
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