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Convert the polar representation of this complex number into its standard form:
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Please Help!!!
HELP!!
\[z = 2\left(\cos \frac{7\pi}{6} + i\sin \frac{7\pi}{6}\right)\] \[z = 2\cos \frac{7\pi}{6} + i2\sin \frac{7\pi}{6}\]
use ur calculator and evalueate cos7pi/6 and sin7pi/6
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http://www.wolframalpha.com/input/?i=2*cos%287pi%2F6%29+%2B+i2sin%287pi%2F6%29
you can write it ias foolows... \[z=2(\cos (\pi+\frac{ \pi }{ 6 })+\iota \sin (\pi+\frac{ \pi }{ 6 }))\] now use sin(A+B)=sinAcosB+cosAsinB and cos(A+B)=cosAcosB-sinAsinB to evaluate and then use trig.fun.values table to find your answerr...
nice :)
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