Dalia S.

asked • 02/22/14

write the following in the polar form

Write the following in the polar form reiθ, -pie<0≤pie
a)πi 
r=
θ=
b)-2√2- 5i
r=
θ=
c) (1-i)(-√(3)+i))
r=
θ=
d)(√(2)-5i))2
r=
θ=
e)(-5+√(2i))/(5+3i)
r=
θ=
f) -√7(1+i)/ √(3) +i
r=
θ=

Nathan C.

On f, it's difficult to tell if the denominator is sqrt3 or (sqrt3 + i) 
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02/22/14

Dalia S.

its (sqrt3)+i
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02/23/14

2 Answers By Expert Tutors

By:

Steve S. answered • 02/22/14

Tutoring in Precalculus, Trig, and Differential Calculus

Dalia S.

the last two ( e and f) are unfortunately wrong 
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02/22/14

Nathan C. answered • 02/22/14

Math and Science (K through College)

Steve S.

As a retired precalc teacher I'd be hesitant to introduce atan2 to students who were still struggling to grasp the concepts around atan, it's reduced domain, and how to find problem angels outside that domain. Also, I don't think its on graphing calculators yet (could be wrong) that the students use for tests.
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02/22/14

Steve S.

angles, not angels!
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02/22/14

Nathan C.

Understood, but I prefer to explain the reasoning rather than just provide the answer. The Wikipedia page does a decent job of explaining arctan2 I think. 
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02/22/14

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