Problem 44492. Approximate the cosine function

Solution 1561747

Submitted on 16 Jun 2018 by uri wolf

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Test	Status	Code Input and Output
1	Pass	filetext = fileread('myCos.m'); assert(isempty(strfind(filetext, 'regexp')),'regexp hacks are forbidden')
2	Pass	filetext = fileread('myCos.m'); trigUsed = any(strfind(filetext, 'cos')) \|\| any(strfind(filetext, 'sin')) \|\|... any(strfind(filetext, 'exp')); assert(~trigUsed, 'Cannot use MATLAB trigonometric functions')
3	Pass	x = 0; assert(abs(myCos(x)-cos(x)) < 0.0001) y = 1 y = 1 y = 1 y = 1 y = 1 y = 1 y = 1 y = 1 y = 1 y = 1
4	Pass	x = pi; assert(abs(myCos(x)-cos(x)) < 0.0001) y = 1 y = -3.9348 y = 0.1239 y = -1.2114 y = -0.9760 y = -1.0018 y = -0.9999 y = -1.0000 y = -1.0000 y = -1.0000
5	Pass	x = pi/2; assert(abs(myCos(x)-cos(x)) < 0.0001) y = 1 y = -0.2337 y = 0.0200 y = -8.9452e-04 y = 2.4737e-05 y = -4.6477e-07 y = 6.3215e-09 y = -6.5134e-11 y = 5.2606e-13 y = -3.3769e-15
6	Pass	x = 5*pi/3; assert(abs(myCos(x)-cos(x)) < 0.0001) y = 1 y = -12.7078 y = 18.6094 y = -10.0099 y = 4.0011 y = -0.2669 y = 0.6195 y = 0.4860 y = 0.5013 y = 0.4999