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Convert the complex number 3  3i into its polar representation. a. 3(cos(60degrees) + isin(60degrees)) b. 3√2(cos(135degrees) + isin(135degrees)) c. √3(cos(225degrees) + isin(225degrees)) d. 3√(cos(315degrees) + isin(315degrees))
 one year ago
 one year ago
Convert the complex number 3  3i into its polar representation. a. 3(cos(60degrees) + isin(60degrees)) b. 3√2(cos(135degrees) + isin(135degrees)) c. √3(cos(225degrees) + isin(225degrees)) d. 3√(cos(315degrees) + isin(315degrees))
 one year ago
 one year ago

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shivam_bhallaBest ResponseYou've already chosen the best response.0
Polar representation of any complex number is given by \[z = z (\cos (\theta)+i \sin(\theta))\]
 one year ago

dumbcowBest ResponseYou've already chosen the best response.2
For a complex number a+bi the magnitude is found by sqrt(a^2 +b^2) the angle is found by tan(theta) = b/a
 one year ago

shivam_bhallaBest ResponseYou've already chosen the best response.0
As dumbcow said above z>Magnitude θ>angle
 one year ago

puffslotion28Best ResponseYou've already chosen the best response.0
so the answer is b. 3√2(cos(135degrees) + isin(135degrees))?
 one year ago
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