Polar Project Analysis Essay

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Shota Homma
2/8/2015
Period 4 Polar Project Analysis Essay For the first set of 6 graphs, all graphs are completed in 180 degrees and share 2 features. The n of theta in formulas, r=cos n theta and r=sin n theta, in 6 formulas are 1 and all graphs have circles for the first set. All 6 circles in the first set touch its point at the origin hit the opposite end of the origin, which the points of the other end of the origin depend on the coefficients of theta. The next set of 6 graphs are cosine functions in which the n of the function, r=cos n theta, are odd. The graphs in the second set are completed in 180 degrees and form rose curves. The graphs begin from the point, (1,0), and the number of petals for each function depends on the number of n in a function, r=cos n theta. The third set has 6 sin functions in which the n of a function, r=sin n theta, is odd. The graphs are completed in 180 degrees. All the graphs in this set hit their points at either (0,1) or (0, -1). The fourth set includes 6 cosine functions, which the coefficients of n in a formula, r=cos n theta, are even. The even, cosine functions have their graphs touch their points at 0, π/2, π, and 3π/2 which the even, sine functions do not have graphs touch their points any of them. The coefficients of theta, or n, in formulas, r=cos n theta and r=sin n theta, show the types of patterns. For example, all functions of the first set had circles because their coefficients of theta in functions were all 1.

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