Cody

# Problem 44492. Approximate the cosine function

Solution 1409769

Submitted on 8 Jan 2018 by shimon zusmanovsky
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### Test Suite

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)

k = 0 y = 0 a = 1 y = 1 k = 1

4   Pass
x = pi; assert(abs(myCos(x)-cos(x)) < 0.0001)

k = 0 y = 0 a = 1 y = 1 k = 1 y = -3.9348 k = 2 y = 0.1239 k = 3 y = -1.2114 k = 4 y = -0.9760 k = 5 y = -1.0018 k = 6 y = -0.9999 k = 7 y = -1.0000 k = 8

5   Pass
x = pi/2; assert(abs(myCos(x)-cos(x)) < 0.0001)

k = 0 y = 0 a = 1 y = 1 k = 1 y = -0.2337 k = 2 y = 0.0200 k = 3 y = -8.9452e-04 k = 4 y = 2.4737e-05 k = 5

6   Pass
x = 5*pi/3; assert(abs(myCos(x)-cos(x)) < 0.0001)

k = 0 y = 0 a = 1 y = 1 k = 1 y = -12.7078 k = 2 y = 18.6094 k = 3 y = -10.0099 k = 4 y = 4.0011 k = 5 y = -0.2669 k = 6 y = 0.6195 k = 7 y = 0.4860 k = 8 y = 0.5013 k = 9 y = 0.4999 k = 10