complex numbers query (1 Viewer)

sssona09

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heey so suppose I have 5-5i = 5 root 2 (cosx+isinx)

now i have to equate the roots to eventually get x
is it always the case that I can choose to equate the real or imaginary and it doesn't matter which one? do I always get the same answer??
 

1729

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heey so suppose I have 5-5i = 5 root 2 (cosx+isinx)

now i have to equate the roots to eventually get x
is it always the case that I can choose to equate the real or imaginary and it doesn't matter which one? do I always get the same answer??
 

1729

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heey so suppose I have 5-5i = 5 root 2 (cosx+isinx)

now i have to equate the roots to eventually get x
is it always the case that I can choose to equate the real or imaginary and it doesn't matter which one? do I always get the same answer??
 

jathu123

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for complex number z=a+ib, arg(z) = arctan(b/a) [-pi < arg(z) ≤ pi]
and its clear that 5-5i is in the 4th quadrant, so the argument of 5-5i is arctan(-1) = -pi/4
 

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