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write 100(cos240+isin240) in standard form

 Mar 9, 2015

Best Answer 

 #1
avatar+118723 
+5

Well if 240 is in  degrees then

 

$$\\100(cos240+isin240) \\\\
=100(-cos60-isin60)\\\\
=100(-\frac{1}{2}-i\frac{\sqrt{3}}{2})\\\\
=-50-50\sqrt{3}\;i\\\\$$

 

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You could also write it in exponential form like this :)

 

 $$240degrees = \frac{240\pi}{180}\;radians\;\;=\frac{4\pi}{3}$$

 

$$100(cos240+isin240)=100e^{4\pi\;i/3}$$

 Mar 10, 2015
 #1
avatar+118723 
+5
Best Answer

Well if 240 is in  degrees then

 

$$\\100(cos240+isin240) \\\\
=100(-cos60-isin60)\\\\
=100(-\frac{1}{2}-i\frac{\sqrt{3}}{2})\\\\
=-50-50\sqrt{3}\;i\\\\$$

 

----------------------------------------

 

You could also write it in exponential form like this :)

 

 $$240degrees = \frac{240\pi}{180}\;radians\;\;=\frac{4\pi}{3}$$

 

$$100(cos240+isin240)=100e^{4\pi\;i/3}$$

Melody Mar 10, 2015

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