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56 changes: 56 additions & 0 deletions math/cos.py
Original file line number Diff line number Diff line change
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# Menghitung cosisnus dengan menggunakan deret taylor
# https://en.wikipedia.org/wiki/Taylor_series#Trigonometric_functions
import math


def factorial(x) -> int:
if x < 0:
return ValueError("Angkanya harus bilangan real")
if x == 0 or x == 1:
return 1
else:
return x * (factorial(x - 1))


def cosinus(sudut) -> float:
"""
Cosinus adalah sebuah perbandingan dari sisi samping dan
miring segitiga siku-siku.

>>> cosinus(0)
1.0
>>> cosinus(30)
0.8660254037844386
>>> cosinus(45)
0.7071067811865475
>>> cosinus(60)
0.5000000000000001
>>> cosinus(90)
-3.3769215522516056e-15
"""
result = 0.0
interable = 10
radian = sudut * math.pi / 180
for i in range(interable):
numerator = math.pow(radian, 2 * i) * math.pow(-1, i)
detector = factorial(2 * i)
result = result + (numerator / detector)

return float(result)


def main(args=None):
import doctest

doctest.testmod()

# base case
print(cosinus(0)) # 1.0
print(cosinus(30)) # 0.8660254037844386
print(cosinus(45)) # 0.7071067811865475
print(cosinus(60)) # 0.5000000000000001
print(cosinus(90)) # -3.3769215522516056e-15


if __name__ == "__main__":
main()
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