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I have to rewrite the following to polar form: re^iθ (θ is in radian).

  • 2∠30°

I think that I have to use this: r*cos(θ) + i * sin(θ)

 

Please help! 

Guest Jan 29, 2015

Best Answer 

 #4
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+5

Thanks a lot!

You are a life saver 

Guest Jan 30, 2015
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4+0 Answers

 #1
avatar+92221 
+5

I think it is 

 

$$\\2e^{i\pi/6}\\\\
=2(cos\frac{\pi}{6}+isin\frac{\pi}{6})\\\\
=2(\frac{\sqrt3}{2}+i*\frac{1}{2})\\\\
=\sqrt3+i$$
  

 

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You do not need this pic to answer the question but I think it may help you to understand

 

Melody  Jan 30, 2015
 #2
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+5

Thanks for the help.

I just dont understand why you use π/6?

How do you know that θ = π/6?

Guest Jan 30, 2015
 #3
avatar+92221 
+5

$$\\\theta = 30 degrees\\\\
180\;degrees = \pi\; radians\qquad $This is something you need to know$\\
so\\
1 \;degree = \frac{\pi}{180}\;radians\\
so\\
30\;degrees=30\times\frac{\pi}{180}\;radians\\\\
30\;degrees=\frac{\pi}{6}\;radians\\$$

 

Does that answer your question ?

Melody  Jan 30, 2015
 #4
avatar
+5
Best Answer

Thanks a lot!

You are a life saver 

Guest Jan 30, 2015

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