Chapter 9: Q. 28 (page 592)

In Problems $23 - 32$ , write each complex number in rectangular form.
$4 (\cos \frac{π}{2} + i \sin \frac{π}{2})$ .

Short Answer

Expert verified

The rectangular form of the complex number $4 (\cos \frac{π}{2} + i \sin \frac{π}{2})$ is, $4 i$ .

Step by step solution

Step 1 Given complex number is,

$4 (\cos \frac{π}{2} + i \sin \frac{π}{2})$ .

we know that,

\cos \frac{π}{2} = 0 \sin \frac{π}{2} = 1

Step 2 Substitute the known values in the given expression.

$z = 4 (\cos \frac{π}{2} + i \sin \frac{π}{2}) z = 4 (0 + i) z = 4 i$

Thus the required rectangular form is, $z = 4 i$ .

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In Problems $23 - 32$ , write each complex number in rectangular form.
$4 (\cos \frac{π}{2} + i \sin \frac{π}{2})$ .

Short Answer

Step by step solution

Step 1 Given complex number is,

Step 2 Substitute the known values in the given expression.

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In Problems 23-32, write each complex number in rectangular form.4cosπ2+isinπ2.

Short Answer

Step by step solution

Step 1 Given complex number is,

Step 2 Substitute the known values in the given expression.

One App. One Place for Learning.

Most popular questions from this chapter

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In Problems $23 - 32$ , write each complex number in rectangular form.
$4 (\cos \frac{π}{2} + i \sin \frac{π}{2})$ .