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Chapter 9: Q. 17 (page 630)

Write each complex number in the standard form a+biand plot each in the complex plane.

3cos鈦�2蟺3+isin鈦�2蟺3

Short Answer

Expert verified

z=鈭�32+i332

Step by step solution

01

Step 1. Given information

We have to write the given complex number in standard form. Also, we have to plot it in a complex plane.

02

Step 2. Convert the given complex number in standard form

To convert it in the standard form, we know that:

z=x+iy=r(cos胃+isin胃)

For the given equation,

z=3cos鈦�2蟺3+isin鈦�2蟺3=3鈭�12+i32=鈭�32+i332

03

Step 3. Plot the graph

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