Convert the following polar representation of this complex number into it's regular form: z=4(cos pi/2+isinpi/2)?
Stacey Warren - Expert brainly.com
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The question seems a bit strange as currently worded... The answer choices don't match up... since the complex number is ALREADY in polar representation... :)
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That makes more sense... but now let's see if I can figure out the real question. :P lol
Alright, 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. :)
I happen to see these a lot, so I can tell you that cos(pi/2) = 0 and sin(pi/2) = 1.
OK so far?
Alright, so now we just simplify the given number:
z = 4(cos pi/2 + i sin pi/2)
= 4(0 + i * 1)
= 4( i )
If 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.
so in order to get the answer that's all you do?
Yes, converting from polar form to regular form is much easier than going the other direction.