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Siliveru Anil Kumar - Author on ShareChat: Funny, Romantic, Videos, Shayari, Quotes
Siliveru Anil Kumar
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#Educational Updates #🏆పోటీ పరీక్షల స్పెషల్ #💼TSPSC/ APPSC ప్రత్యేకం #📖ఎడ్యుకేషన్✍ #🎓జాబ్ ప్రిపరేషన్📚
Educational Updates - COMPLEX NUMBERS IN POLAR FORM What is Polar Form? ٧ A complex number z = x + iy can be written in polar form as: Z = r(cos0 + i sin 0) 0 ٣ = ١z١ = ٧x2 + ٧2 Modulus (Y) >Argument 0 = tan Atrentive Forn (Guler Form) | Alternative Form (Euler Form): Z = reie 2 reio Example 1 Example 2 Convert z =-1+iV3 Convert z =1+i to polar form Step 1: r=/12+12=v2 r=V-112+ (V3)2 = 2 Step 1: YA y Step 2: 0 = tan1(1) = 459' Step 20=120o (Quadrant Il) Y2 450 Final Answera Final Answera Y2(cos' z = 2(cos 1209 + i sin 1209)| ४५९ + i sin ४५९ ) = Why Potar Form? Quick Tip: 90 Always check the Easier Multiplication & Division quadrant 1[[ Useful in De Moivres Theorem before choosing Important in Engineering & Physics 00 I I Key Formula Box: z= r(cos 0+ i sin 0) COMPLEX NUMBERS IN POLAR FORM What is Polar Form? ٧ A complex number z = x + iy can be written in polar form as: Z = r(cos0 + i sin 0) 0 ٣ = ١z١ = ٧x2 + ٧2 Modulus (Y) >Argument 0 = tan Atrentive Forn (Guler Form) | Alternative Form (Euler Form): Z = reie 2 reio Example 1 Example 2 Convert z =-1+iV3 Convert z =1+i to polar form Step 1: r=/12+12=v2 r=V-112+ (V3)2 = 2 Step 1: YA y Step 2: 0 = tan1(1) = 459' Step 20=120o (Quadrant Il) Y2 450 Final Answera Final Answera Y2(cos' z = 2(cos 1209 + i sin 1209)| ४५९ + i sin ४५९ ) = Why Potar Form? Quick Tip: 90 Always check the Easier Multiplication & Division quadrant 1[[ Useful in De Moivres Theorem before choosing Important in Engineering & Physics 00 I I Key Formula Box: z= r(cos 0+ i sin 0) - ShareChat