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Select the correct answer.4cisConvert 3 to rectangular form.isrO A.-2 – 231O B.-2 + 2V3OC. 2 - 2/3:OD. 2 + 2/31

User Manvir
by
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1 Answer

3 votes

As per given by the question,

There are given that the trigonometric function,


4\cos (5\pi)/(3)

Now,

The general form of the rectangula form is,


a+ib

Now,

Written the given trigonometric in the form of complex,

So


Z=4\lbrack\cos (5\pi)/(3)+i\sin (5\pi)/(3)\rbrack

Then,


\begin{gathered} z=4\lbrack\cos (5\pi)/(3)+i\sin (5\pi)/(3)\rbrack \\ z=4\lbrack\cos (300)+i\sin (300)\rbrack \end{gathered}

Then,


\begin{gathered} z=4\lbrack\cos (300)+\text{isin}(300)\rbrack \\ z=4\lbrack0.5+i(-0.866)\rbrack \\ z=2+i(-0.866*4) \\ z=2-i3.46 \\ z=2-2\sqrt[]{3}i \end{gathered}

Hence, the option c is correct.

User Nyps
by
7.8k points

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