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anonymous
 one year ago
Convert the following polar representation of this complex number into it's regular form: z=4(cos pi/2+isinpi/2)?
A.(0,4)
B.(4,0)
C.(4sqrt2,0)
D.(0,4)
anonymous
 one year ago
Convert the following polar representation of this complex number into it's regular form: z=4(cos pi/2+isinpi/2)? A.(0,4) B.(4,0) C.(4sqrt2,0) D.(0,4)

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jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1The question seems a bit strange as currently worded... The answer choices don't match up... since the complex number is ALREADY in polar representation... :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ill double check the question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jtvatsim fixed it:)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1That makes more sense... but now let's see if I can figure out the real question. :P lol

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1Alright, so for these you need to either have memorized what cos(pi/2) and sin(pi/2) are, use a calculator (in radians mode), or use the unit circle. :)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1I happen to see these a lot, so I can tell you that cos(pi/2) = 0 and sin(pi/2) = 1.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1Alright, so now we just simplify the given number: z = 4(cos pi/2 + i sin pi/2) = 4(0 + i * 1) = 4( i ) = 4i.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1If you are feeling really "textbook mathy" this is the same as 4i = 0 + 4i or some people write it like a coordinate (0, 4) where it is understood that the first coordinate gives the "real" number values, and the second coordinate gives the "imaginary" i values.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so in order to get the answer that's all you do?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1Yes, converting from polar form to regular form is much easier than going the other direction.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks:) So the final amswer is A. (0,4

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.1No problem! You are good to go!
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