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Siliveru Anil Kumar
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#Educational Updates
#💼TSPSC/ APPSC ప్రత్యేకం
#🎓జాబ్ ప్రిపరేషన్📚
#🏆పోటీ పరీక్షల స్పెషల్
#📖ఎడ్యుకేషన్✍
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![Educational Updates - Complex Numbers Simplifying (Imaginaryin] Definition Denomnator ;2 = -1 1= V_] (a - bi ) (a + bi) ;3 = -1 14 = ] (a + bi) (@ + bi)(@ + bi) Relation to Radicals a2 + b2 a2 + b2 V-a = iVa, a2 0 Complex Circle (; theta form) Sum Z =0+ bi = T(cos0 +isin0) (a + bi)+ (c + di) = a+c+ (b+ dji) Difference ThetinComplex (a + bi) - (c+di) = a-c+ (b - dji) a=1cos 0 b tan 0 ಕ b =rsin 0 a Multiplication (a + bi)(c + di) = ac -bd + (ad + bc)i Nth Power rn (cos n0 +isinne) २ ా Multiplication of Conjugate (a + bi)(a ~ bi) = a२ + b२ Nth Root Absolute Value Vz = nVr [cos(x +isin x)]| I + b1l = V42 + b2 0 + 27k = n ke{0,1,2 , (n - 1)} Complex Numbers Simplifying (Imaginaryin] Definition Denomnator ;2 = -1 1= V_] (a - bi ) (a + bi) ;3 = -1 14 = ] (a + bi) (@ + bi)(@ + bi) Relation to Radicals a2 + b2 a2 + b2 V-a = iVa, a2 0 Complex Circle (; theta form) Sum Z =0+ bi = T(cos0 +isin0) (a + bi)+ (c + di) = a+c+ (b+ dji) Difference ThetinComplex (a + bi) - (c+di) = a-c+ (b - dji) a=1cos 0 b tan 0 ಕ b =rsin 0 a Multiplication (a + bi)(c + di) = ac -bd + (ad + bc)i Nth Power rn (cos n0 +isinne) २ ా Multiplication of Conjugate (a + bi)(a ~ bi) = a२ + b२ Nth Root Absolute Value Vz = nVr [cos(x +isin x)]| I + b1l = V42 + b2 0 + 27k = n ke{0,1,2 , (n - 1)} - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_108932_282e88a7_1774981107464_sc.jpg?tenant=sc&referrer=pwa-sharechat-service&f=464_sc.jpg "Educational Updates - Complex Numbers Simplifying (Imaginaryin] Definition Denomnator ;2 = -1 1= V_] (a - bi ) (a + bi) ;3 = -1 14 = ] (a + bi) (@ + bi)(@ + bi) Relation to Radicals a2 + b2 a2 + b2 V-a = iVa, a2 0 Complex Circle (; theta form) Sum Z =0+ bi = T(cos0 +isin0) (a + bi)+ (c + di) = a+c+ (b+ dji) Difference ThetinComplex (a + bi) - (c+di) = a-c+ (b - dji) a=1cos 0 b tan 0 ಕ b =rsin 0 a Multiplication (a + bi)(c + di) = ac -bd + (ad + bc)i Nth Power rn (cos n0 +isinne) २ ా Multiplication of Conjugate (a + bi)(a ~ bi) = a२ + b२ Nth Root Absolute Value Vz = nVr [cos(x +isin x)]| I + b1l = V42 + b2 0 + 27k = n ke{0,1,2 , (n - 1)} Complex Numbers Simplifying (Imaginaryin] Definition Denomnator ;2 = -1 1= V_] (a - bi ) (a + bi) ;3 = -1 14 = ] (a + bi) (@ + bi)(@ + bi) Relation to Radicals a2 + b2 a2 + b2 V-a = iVa, a2 0 Complex Circle (; theta form) Sum Z =0+ bi = T(cos0 +isin0) (a + bi)+ (c + di) = a+c+ (b+ dji) Difference ThetinComplex (a + bi) - (c+di) = a-c+ (b - dji) a=1cos 0 b tan 0 ಕ b =rsin 0 a Multiplication (a + bi)(c + di) = ac -bd + (ad + bc)i Nth Power rn (cos n0 +isinne) २ ా Multiplication of Conjugate (a + bi)(a ~ bi) = a२ + b२ Nth Root Absolute Value Vz = nVr [cos(x +isin x)]| I + b1l = V42 + b2 0 + 27k = n ke{0,1,2 , (n - 1)} - ShareChat")