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Mathematics 4 Online
OpenStudy (anonymous):

find the complx? 12+5i

OpenStudy (amistre64):

find it?

OpenStudy (anonymous):

complex what? part? if complex part of the number - it's number in a front of i, so complex part=5

OpenStudy (amistre64):

real + imaginary maybe? 12 + 5i ; 5i is the imaginary part

OpenStudy (anonymous):

right!

OpenStudy (anonymous):

first we can find the modulus. and the find . Arg angle .. by using tan inverse (y\x)

OpenStudy (anonymous):

confused... what is the actual problem?

OpenStudy (amistre64):

teh modulus is the length of the line right? sqrt(144+25) = 13

OpenStudy (amistre64):

the angle is that of tan^-1(5/12) i spose

OpenStudy (amistre64):

if we plot this on reals; it would look like (12,5)

OpenStudy (anonymous):

its right. but agter we can use formula. r(cos angle + i sin angle)

OpenStudy (amistre64):

r(cos(t) + i sin(t)) is the polar coordinates...yes :) where r = 13 and t = that angle of tan^-1(5/12)

OpenStudy (amistre64):

t = 22.62 or so...

OpenStudy (anonymous):

is the ans 119

OpenStudy (anonymous):

how which formula to use? to find

OpenStudy (anonymous):

do (12+5i)(12-5i) 144-25[i^{2}\] 169 is the ans

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