Cody

# Problem 44492. Approximate the cosine function

Solution 1562978

Submitted on 18 Jun 2018 by amir cohen
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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)

y = 1 t = 0

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

y = 1 t = -4.9348 y = -3.9348 t = 4.0587 y = 0.1239 t = -1.3353 y = -1.2114 t = 0.2353 y = -0.9760 t = -0.0258 y = -1.0018 t = 0.0019 y = -0.9999 t = -1.0464e-04 y = -1.0000 t = 4.3031e-06

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

y = 1 t = -1.2337 y = -0.2337 t = 0.2537 y = 0.0200 t = -0.0209 y = -8.9452e-04 t = 9.1926e-04 y = 2.4737e-05 t = -2.5202e-05

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

y = 1 t = -13.7078 y = -12.7078 t = 31.3172 y = 18.6094 t = -28.6193 y = -10.0099 t = 14.0110 y = 4.0011 t = -4.2680 y = -0.2669 t = 0.8864 y = 0.6195 t = -0.1335 y = 0.4860 t = 0.0153 y = 0.5013 t = -0.0014 y = 0.4999 t = 9.8593e-05