Chapter 1: Q. 16 (page 1)

Write each complex number in the standard form a + bi and plot each in the complex plane.
$2 (\cos 150^{o} + i \sin 150^{o})$

Short Answer

Expert verified

The complex number is $- \sqrt{3} + i$

Step by step solution

Step 1. Find x coordinate

The x coordinate $2 (\cos 150^{o} + i \sin 150^{o})$ is,

$x = r \cos θ$

$x = 2 \sin 150^{o}$

$x = 2 (- \frac{\sqrt{3}}{2})$

$x = - \sqrt{3}$

Step 2. Find Y coordinate

$y = r \sin θ$

$y = 2 \sin 150^{o}$

localid="1646831171569" $y = 2 (\frac{1}{2})$

localid="1646831178433" $y = 1$

The complex number is $- \sqrt{3} + i$

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Write each complex number in the standard form a + bi and plot each in the complex plane.
$2 (\cos 150^{o} + i \sin 150^{o})$

Short Answer

Step by step solution

Step 1. Find x coordinate

Step 2. Find Y coordinate

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Write each complex number in the standard form a + bi and plot each in the complex plane.2(cos150o+isin150o)

Short Answer

Step by step solution

Step 1. Find x coordinate

Step 2. Find Y coordinate

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

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Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Write each complex number in the standard form a + bi and plot each in the complex plane.
$2 (\cos 150^{o} + i \sin 150^{o})$