1. The Sine and Cosine graphs are 'complementary', which means that the expression sin2 x + cos2 x = 1 is realized. Therefore, when sin (x) = 1, in that point cos(x) = 0, and vice versa. The same situation is observed when the functions take -1 and 0 values. Therefore, if Sine and Cosine are plotted on the same graphs, they look the same, but as if Cosine function is shifted by pi/2 comparing to Sine. Since Tangent function is obtained as sin x / cos x, then the point x = it should not reach the x-points pi/2, 3pi/2, etc. The ...
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Introduction
Taxicab geometry is a better idealized model for urban geography as compared to Euclidean geometry. This is very applicable in urban planning where distances within the roads are divided within rigid blocks and the shortest distance cannot be the hypotenuse. This is very helpful in establishing the shortest distance between any two points. ( Surhome, Timpledon & Susan). Geometry can be traced back over 2000 years. This is solely refers to Euclidean geometry introduced by Euclid. A German mathematician Hermann Miknowski proposed taxicab geometry. He had the proposition that distances in taxicab geometry is different than in Euclidean geometry. His ...
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