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Chapter 9: Q. 29 (page 592)

In Problems 23-32, write each complex number in rectangular form.

0.2cos100鈭�+isin100鈭�.

Short Answer

Expert verified

The rectangular form of the complex number 0.2cos100鈭�+isin100鈭�is,-0.035+0.197i.

Step by step solution

01

Step 1 Given complex number is,

0.2cos100鈭�+isin100鈭�.

The given complex number is in the form of rcos胃+isin胃where x=rcos胃,y=rsin胃.

The xco-ordinates of 0.2cos100鈭�+isin100鈭�is,

x=rcos胃x=0.2cos100鈭�x=0.2-0.175x=-0.035

02

Step 2 The y co-ordinate of 0.2cos 100∘+i sin 100∘ is,

y=rsin胃y=0.2sin100鈭�y=0.20.985y=0.197

The rectangular form is,z=x+iyz=-0.035+0.197

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