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Chapter 9: Q. 43 (page 592)

Write the expression in the standard form a+ib.

role="math" localid="1646666471780" 2cos蟺10+isin蟺105

Short Answer

Expert verified

The expression in the standard form is 32i.

Step by step solution

01

Step 1. Given information.

Consider the given question,

2cos蟺10+isin蟺105

We know that for a complex number raise to n when it is in the polar form zn=rncos胃+isinn胃......(i)

Write the expression in the standard form z=a+bi,

x5=2cos蟺10+isin蟺105

02

Step 2. Use equation (i) and solve the equation.

Using the equation (i),

x5=25cos5路蟺10+isin5路蟺10x5=32cos蟺2+isin蟺2x5=320+ix5=32i

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Most popular questions from this chapter

sin5蟺4=________.

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

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