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For example, There's a 999,999 sided polygon. And as you can see, It basically just looks like a circle. And it's called: Enneacontakaienneakismyriakaienneakischiliakaienneahectokaienneacontakaienneagon. It was super hard to pronounce that!

So the polygon has infinite sides, The polygon looks like a circle.

In fact, there's infinite polygons.

And there're polygons that has more than 200 sides.

Polygons: Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Hendecagon (11 sides) Dodecagon (12 sides) Tridecagon (13 sides) Tetradecagon (14 sides) Pentadecagon (15 sides) Hexadecagon (16 sides) Heptadecagon (17 sides) Octadecagon (18 sides) Enneadecagon (19 sides) Icosagon (20 sides) Icosikaihenagon (21 sides) Icosikaidigon (22 sides) Icosikaitrigon (23 sides) Icosikaitetragon (24 sides) Icosikaipentagon (25 sides) Icosikaihexagon (26 sides) Icosikaiheptagon (27 sides) Icosikaioctagon (28 sides) Icosikaienneagon (29 sides) Triacontagon (30 sides) Triacontakaihenagon (31 sides) Triacontakaidigon (32 sides) Triacontakaitrigon (33 sides) Triacontakaitetragon (34 sides) Triacontakaipentagon (35 sides) Triacontakaihexagon (36 sides) Triacontakaiheptagon (37 sides) Triacontakaioctagon (38 sides) Triacontakaienneagon (39 sides) Tetracontagon (40 sides) Tetracontakaihenagon (41 sides) Tetracontakaidigon (42 sides) Tetracontakaitrigon (43 sides) Tetracontakaitetragon (44 sides) Tetracontakaipentagon (45 sides) Tetracontakaihexagon (46 sides) Tetracontakaiheptagon (47 sides) Tetracontakaioctagon (48 sides) Tetracontakaienneagon (49 sides) Pentacontagon (50 sides) Pentacontakaihenagon (51 sides) Pentacontakaidigon (52 sides) Pentacontakaitrigon (53 sides) Pentacontakaitetragon (54 sides) Pentacontakaipentagon (55 sides) Pentacontakaihexagon (56 sides) Pentacontakaiheptagon (57 sides) Pentacontakaioctagon (58 sides) Pentacontakaienneagon (59 sides) Hexacontagon (60 sides) Hexacontakaihenagon (61 sides) Hexacontakaidigon (62 sides) Hexacontakaitrigon (63 sides) Hexacontakaitetragon (64 sides) Hexacontakaipentagon (65 sides) Hexacontakaihexagon (66 sides) Hexacontakaiheptagon (67 sides) Hexacontakaioctagon (68 sides) Hexacontakaienneagon (69 sides) Heptacontagon (70 sides) Heptacontakaihenagon (71 sides) Heptacontakaidigon (72 sides) Heptacontakaitrigon (73 sides) Heptacontakaitetragon (74 sides) Heptacontakaipentagon (75 sides) Heptacontakaihexagon (76 sides) Heptacontakaiheptagon (77 sides) Heptacontakaioctagon (78 sides) Heptacontakaienneagon (79 sides) Octacontagon (80 sides) Octacontakaihenagon (81 sides) Octacontakaidigon (82 sides) Octacontakaitrigon (83 sides) Octacontakaitetragon (84 sides) Octacontakaipentagon (85 sides) Octacontakaihexagon (86 sides) Octacontakaiheptagon (87 sides) Octacontakaioctagon (88 sides) Octacontakaienneagon (89 sides) Enneacontagon (90 sides) Enneacontakaihenagon (91 sides) Enneacontakaidigon (92 sides) Enneacontakaitrigon (93 sides) Enneacontakaitetragon (94 sides) Enneacontakaipentagon (95 sides) Enneacontakaihexagon (96 sides) Enneacontakaiheptagon (97 sides) Enneacontakaioctagon (98 sides) Enneacontakaienneagon (99 sides) Hectogon (100 sides) Hectokaihenagon (101 sides) Hectokaidigon (102 sides) Hectokaitrigon (103 sides) Hectokaitetragon (104 sides) Hectokaipentagon (105 sides) Hectokaihexagon (106 sides) Hectokaiheptagon (107 sides) Hectokaioctagon (108 sides) Hectokaienneagon (109 sides) Hectokaidecagon (110 sides) Hectokaihendecagon (111 sides) Hectokaidodecagon (112 sides) Hectokaitridecagon (113 sides) Hectokaitetradecagon (114 sides) Hectokaipentadecagon (115 sides) Hectokaihexadecagon (116 sides) Hectokaiheptadecagon (117 sides) Hectokaioctadecagon (118 sides) Hectokaienneadecagon (119 sides) Hectokaicosagon (120 sides) Hectokaicosikaihenagon (121 sides) Hectokaicosikaidigon (122 sides) Hectokaicosikaitrigon (123 sides) Hectokaicosikaitetragon (124 sides) Hectokaicosikaipentagon (125 sides) Hectokaicosikaihexagon (126 sides) Hectokaicosikaiheptagon (127 sides) Hectokaicosikaioctagon (128 sides) Hectokaicosikaienneagon (129 sides) Hectokaitriacontagon (130 sides) Hectokaitriacontakaihenagon (131 sides) Hectokaitriacontakaidigon (132 sides) Hectokaitriacontakaitrigon (133 sides) Hectokaitriacontakaitetragon (134 sides) Hectokaitriacontakaipentagon (135 sides) Hectokaitriacontakaihexagon (136 sides) Hectokaitriacontakaiheptagon (137 sides) Hectokaitriacontakaioctagon (138 sides) Hectokaitriacontakaienneagon (139 sides) Hectokaitetracontagon (140 sides) Hectokaitetracontakaihenagon (141 sides) Hectokaitetracontakaidigon (142 sides) Hectokaitetracontakaitrigon (143 sides) Hectokaitetracontakaitetragon (144 sides) Hectokaitetracontakaipentagon (145 sides) Hectokaitetracontakaihexagon (146 sides) Hectokaitetracontakaiheptagon (147 sides) Hectokaitetracontakaioctagon (148 sides) Hectokaitetracontakaienneagon (149 sides) Hectokaipentacontagon (150 sides) Hectokaipentacontakaihenagon (151 sides) Hectokaipentacontakaidigon (152 sides) Hectokaipentacontakaitrigon (153 sides) Hectokaipentacontakaitetragon (154 sides) Hectokaipentacontakaipentagon (155 sides) Hectokaipentacontakaihexagon (156 sides) Hectokaipentacontakaiheptagon (157 sides) Hectokaipentacontakaioctagon (158 sides) Hectokaipentacontakaienneagon (159 sides) Hectokaihexacontagon (160 sides) Hectokaihexacontakaihenagon (161 sides) Hectokaihexacontakaidigon (162 sides) Hectokaihexacontakaitrigon (163 sides) Hectokaihexacontakaitetragon (164 sides) Hectokaihexacontakaipentagon (165 sides) Hectokaihexacontakaihexagon (166 sides) Hectokaihexacontakaiheptagon (167 sides) Hectokaihexacontakaioctagon (168 sides) Hectokaihexacontakaienneagon (169 sides) Hectokaiheptacontagon (170 sides) Hectokaiheptacontakaihenagon (171 sides) Hectokaiheptacontakaidigon (172 sides) Hectokaiheptacontakaitrigon (173 sides) Hectokaiheptacontakaitetragon (174 sides) Hectokaiheptacontakaipentagon (175 sides) Hectokaiheptacontakaihexagon (176 sides) Hectokaiheptacontakaiheptagon (177 sides) Hectokaiheptacontakaioctagon (178 sides) Hectokaiheptacontakaienneagon (179 sides) Hectokaioctacontagon (180 sides) Hectokaioctacontakaihenagon (181 sides) Hectokaioctacontakaidigon (182 sides) Hectokaioctacontakaitrigon (183 sides) Hectokaioctacontakaitetragon (184 sides) Hectokaioctacontakaipentagon (185 sides) Hectokaioctacontakaihexagon (186 sides) Hectokaioctacontakaiheptagon (187 sides) Hectokaioctacontakaioctagon (188 sides) Hectokaioctacontakaienneagon (189 sides) Hectokaienneacontagon (190 sides) Hectokaienneacontakaihenagon (191 sides) Hectokaienneacontakaidigon (192 sides) Hectokaienneacontakaitrigon (193 sides) Hectokaienneacontakaitetragon (194 sides) Hectokaienneacontakaipentagon (195 sides) Hectokaienneacontakaihexagon (196 sides) Hectokaienneacontakaiheptagon (197 sides) Hectokaienneacontakaioctagon (198 sides) Hectokaienneacontakaienneagon (199 sides) Dihectogon (200 sides)

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The divisibility rules of every number from 1 to 100 1: Every number is a multiple of 1 2: The number ends in 0, 2, 4, 6 or 8 3: The sum of the digits is a multiple of 3 4: The last 2 digits are a multiple of 4; the 10s digit is even and the last digit is 0, 4 or 8, or the 10s digit is odd and the last digit is 2 or 6 5: The number ends in 0 or 5 6: The number is a multiple of 2 and 3 at the same time 7: The difference between twice the last digit and the rest of the number is a multiple of 7 8: The last 3 digits are a multiple of 8; the 100s digit is even and the last 2 digits are a multiple of 8 or the 100s digit is odd and the last 2 digits are 4 times an odd number 9: The sum of the digits is a multiple of 9 10: The number ends in 0 11: The difference between the last digit and the rest of the number is a multiple of 11 12: The number is a multiple of 3 and 4 at the same time 13: The sum of 4 times the last digit and the rest of the number is a multiple of 13 14: The number is a multiple of 2 and 7 at the same time 15: The number is a multiple of 3 and 5 at the same time 16: The last 4 digits are a multiple of 16; the 1,000s digit is even and the last 3 digits are a multiple of 16 or the 1,000s digit is odd and the last 3 digits are 8 times an odd number 17: The difference between 5 times the last digit and the rest of the number is a multiple of 17 18: The number is a multiple of 2 and 9 at the same time 19: The sum of twice the last digit and the rest of the number is a multiple of 19 20: The number ends in 00, 20, 40, 60 or 80 21: The difference between twice the last digit and the rest of the number is a multiple of 21 22: The number is a multiple of 2 and 11 at the same time 23: The sum of 7 times the last digit and the rest of the number is a multiple of 23 24: The number is a multiple of 3 and 8 at the same time 25: The number ends in 00, 25, 50 or 75 26: The number is a multiple of 2 and 13 at the same time 27: The difference between 8 times the last digit and the rest of the number is a multiple of 27 28: The number is a multiple of 4 and 7 at the same time 29: The sum of thrice the last digit and the rest of the number is a multiple of 29 30: The number is a multiple of 3 and 10 at the same time 31: The difference between thrice the last digit and the rest of the number is a multiple of 31 32: The last 5 digits are a multiple of 32; the 10,000s digit is even and the last 4 digits are a multiple of 32 or the 10,000s digit is odd and the last 4 digits are 16 times an odd number 33: The sum of 10 times the last digit and the rest of the number is a multiple of 33 34: The number is a multiple of 2 and 17 at the same time 35: The number is a multiple of 5 and 7 at the same time 36: The number is a multiple of 4 and 9 at the same time 37: The difference between 11 times the last digit and the rest of the number is a multiple of 37 38: The number is a multiple of 2 and 19 at the same time 39: The sum of 4 times the last digit and the rest of the number is a multiple of 39 40: The last 3 digits are a multiple of 40; the 100s digit is even and the last 2 digits are 00, 40 or 80, or the 100s digit is odd and the last 2 digits are 20 or 60 41: The difference between 4 times the last digit and the rest of the number is a multiple of 41 42: The number is a multiple of 2 and 21 at the same time 43: The sum of 13 times the last digit and the rest of the number is a multiple of 43 44: The number is a multiple of 4 and 11 at the same time 45: The number is a multiple of 5 and 9 at the same time 46: The number is a multiple of 2 and 23 at the same time 47: The difference between 14 times the last digit and the rest of the number is a multiple of 47 48: The number is a multiple of 3 and 16 at the same time 49: The sum of 5 times the last digit and the rest of the number is a multiple of 49 50: The number ends in 00 or 50 51: The difference between 5 times the last digit and the rest of the number is a multiple of 51 52: The number is a multiple of 4 and 13 at the same time 53: The sum of 16 times the last digit and the rest of the number is a multiple of 53 54: The number is a multiple of 2 and 27 at the same time 55: The number is a multiple of 5 and 11 at the same time 56: The number is a multiple of 7 and 8 at the same time 57: The difference between 17 times the last digit and rest of the number is a multiple of 57 58: The number is a multiple of 2 and 29 at the same time 59: The sum of 6 times the last digit and the rest of the number is a multiple of 59 60: The number is a multiple of 3 and 20 at the same time 61: The difference between 6 times the last digit and the rest of the number is a multiple of 61 62: The number is a multiple of 2 and 31 at the same time 63: The sum of 19 times the last digit and the rest of the number is a multiple of 63 64: The last 6 digits are a multiple of 64; the 100,000s digit is even and the last 5 digits are a multiple of 64 or the 100,000s digit is odd and the last 5 digits are 32 times an odd number 65: The number is a multiple of 5 and 13 at the same time 66: The number is a multiple of 2 and 33 at the same time 67: The difference between 20 times the last digit and the rest of the number is a multiple of 67 68: The number is a multiple of 4 and 17 at the same time 69: The sum of 7 times the last digit and the rest of the number is a multiple of 69 70: The number is a multiple of 7 and 10 at the same time 71: The difference between 7 times the last digit and the rest of the number is a multiple of 71 72: The number is a multiple of 8 and 9 at the same time 73: The sum of 22 times the last digit and the rest of the number is a multiple of 73 74: The number is a multiple of 2 and 37 at the same time 75: The number is a multiple of 3 and 25 at the same time 76: The number is a multiple of 4 and 19 at the same time 77: The difference between 23 times the last digit and the rest of the number is a multiple of 77 78: The number is a multiple of 2 and 39 at the same time 79: The sum of 8 times the last digit and the rest of the number is a multiple of 79 80: The last 4 digits are a multiple of 80; the 1,000s digit is even and the last 3 digits are a multiple of 80 or the 1,000s digit is odd and the last 3 digits are 40 times an odd number 81: The difference between 8 times the last digit and the rest of the number is a multiple of 81 82: The number is a multiple of 2 and 41 at the same time 83: The sum of 25 times the last digit and the rest of the number is a multiple of 83 84: The number is a multiple of 4 and 21 at the same time 85: The number is a multiple of 5 and 17 at the same time 86: The number is a multiple of 2 and 43 at the same time 87: The difference between 26 times the last digit and the rest of the number is a multiple of 87 88: The number is a multiple of 8 and 11 at the same time 89: The sum of 9 times the last digit and the rest of the number is a multiple of 89 90: The number is a multiple of 9 and 10 at the same time 91: The difference between 9 times the last digit and the rest of the number is a multiple of 91 92: The number is a multiple of 4 and 23 at the same time 93: The sum of 28 times the last digit and the rest of the number is a multiple of 93 94: The number is a multiple of 2 and 47 at the same time 95: The number is a multiple of 5 and 19 at the same time 96: The number is a multiple of 3 and 32 at the same time 97: The difference between 29 times the last digit and the rest of the number is a multiple of 97 98: The number is a multiple of 2 and 49 at the same time 99: The sum of 10 times the last digit and the rest of the number is a multiple of 99 100: The number ends in 00

Week ma Kitna din hoti ha parade? Or timing?

Ya factorization method hi hia na sir

Thanks sir ❤❤

Aneker kache unsolved chil.

Super

You are a good teacher ❤

Alternative? (2+3*i)= sqrt(13)*exp(0.9828*i)=> (2+3*i)^2 = 13*exp(1.9656*i). Also (2+i)=sqrt(5)*exp(0.436*i) => (2+3*i)^2 / (2+1) = (13/sqrt(5))*exp(1.5019*i) = 2.6*sqrt(5)*(0.0688+0.9976*i) ~> ( 0.4 +5.8*i). (For me, switching complex numbers to polar form seems easier.)

r(n)=((1+i)/(1-i) )^n= exp(i*n*pi/2). n=0 => r(0) =1. Also n=4 =>r(4)= exp(i*2*pi)=1. (smallest is still n=0)

Alternative? sqrt(2)*x=(1+i) => x= exp(i*pi/4) => x^6 +x^4+x^2+1 = exp(i*3*pi/2)+exp(i*pi)+exp(i*pi/2)+1 = - i -1 +i +1 =0

Easier? x1=-5+4*i, let x2=-5-4*i so (x1,x2) are roots of d(x)=x^2+10*x+41 =0. given g(x)= x^4 + 9*x^3 + 35*x^2 - x + 4 (=?) now use synthetic division: g(x) -> remainder (g(x)/d(x)) = -160

let x = sin(a), y= cos(a)=>tan(a)=x/y, given x^4+x^2=1 & x^2 +y^2 = 1 => y= x^2. > (x/y)^4-(x/y)^2 = (1-x^2)/x^4 = (1-x^2)/(1-x^2) = 1

Good job Mama

GOOD

sin π/2-θ = cos θ So sin (θ)/x = sin (π/2- θ)/y Inverse sine rule We can draw a triangle with sides x and y and angle θ adjacent to y and π/2-θ adjacent to x So the angle between x and y will be π/2 So it's a right triangle and we can use the Pythagoraean theorem to figure out the hypothenuse The hypothenuse is c=√(x^2+y^2) We can use SOH CAH TOA to calculate the sine and cosine sin θ = x/c and cos θ = y/c So sin θ - cos θ = x-y/c = x-y/√x^2+y^2

Excellent

Very nice Question. Explanation is good.

Promo sm ✔️

Voice, delivery of speech are very good. request to Sir for more and more such videos.

Explanation is very clear.

Clear

Frist comments

THANK YOU MAMA FOR A NICE EXPLANATION 😊😊👍👍

Frist comments

Nice

Very helpful for basic concepts of mathematics

Pattern of teaching/or to understanding the students so nice.

Very nice explanation

Explanation is nice.