What is the polar form of ( -3,-34 )(−3,−34)?

1 Answer
Henry W.
Oct 10, 2016

sqrt(1165)cis(-1.66)√1165cis(−1.66)

Explanation:

Short way: Use to Pol button on your calculator and enter the coordinates.

If zz is the complex number,
|z|=sqrt((-3)^2+(-34)^2)=sqrt(1165)|z|=√(−3)2+(−34)2=√1165
arg(z)=pi+tan^-1((-34)/-3)-2pi=-1.66->arg(z)=π+tan−1(−34−3)−2π=−1.66→point is in the third quadrant, subtracted 2pi2π to get the principal argument

:.z=sqrt(1165)cis(-1.66)

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