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sudharsan
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#🤔 Unknown Facts
🤔 Unknown Facts - CLASS COMPIEX NUMBERS Formula Sheet Gsudharsan Quick Revision Guide 1. STANDARD FORM & CONJGATE २. MODULUS & ARGUMENT Standard Form: Modulus =x+1y +y-zi Conjgate Argument (0; tan' y7X ' Polar Form; r(cos + i sin 0 Properties 2Re(z) z _ Zilm z) y2 = X2' Euler Form 7 re.i0 ' 3. ALAGBRAIC PROPERTIES Addition: (a+bi)+(c+ d)-a,cd)-ac +ii(bd) Adaition; 72)+i(adbc)2 12 = Z1 Multipication (ac bdi)zac-bd) +ilad bc) Z( COS Distribute Lawv = (7,2.2+ [23) "(z/2' Distribute Law 727~83 4. GEOMETRIC REPRESENTATION ५. IMPORTANT FORMULAS (Argand Plane) De Mowire $ Theorem: ' VIcos sin sin)" Cos nరy0) =1/[21+ X Magnitude Length' sign yl isin il-X/2_ sign +X Arigle Argurent Murtipcation by i X axis ' 7 XTiy Rotation Dy ९०९ CCW CLASS COMPIEX NUMBERS Formula Sheet Gsudharsan Quick Revision Guide 1. STANDARD FORM & CONJGATE २. MODULUS & ARGUMENT Standard Form: Modulus =x+1y +y-zi Conjgate Argument (0; tan' y7X ' Polar Form; r(cos + i sin 0 Properties 2Re(z) z _ Zilm z) y2 = X2' Euler Form 7 re.i0 ' 3. ALAGBRAIC PROPERTIES Addition: (a+bi)+(c+ d)-a,cd)-ac +ii(bd) Adaition; 72)+i(adbc)2 12 = Z1 Multipication (ac bdi)zac-bd) +ilad bc) Z( COS Distribute Lawv = (7,2.2+ [23) "(z/2' Distribute Law 727~83 4. GEOMETRIC REPRESENTATION ५. IMPORTANT FORMULAS (Argand Plane) De Mowire $ Theorem: ' VIcos sin sin)" Cos nరy0) =1/[21+ X Magnitude Length' sign yl isin il-X/2_ sign +X Arigle Argurent Murtipcation by i X axis ' 7 XTiy Rotation Dy ९०९ CCW - ShareChat