maths.maclaurin_series

https://en.wikipedia.org/wiki/Taylor_series#Trigonometric_functions

Functions

maclaurin_cos(→ float)	Finds the maclaurin approximation of cos
maclaurin_sin(→ float)	Finds the maclaurin approximation of sin

Module Contents

maths.maclaurin_series.maclaurin_cos(theta: float, accuracy: int = 30) → float

Finds the maclaurin approximation of cos

Parameters:

• theta – the angle to which cos is found

• accuracy – the degree of accuracy wanted

Returns:

the value of cosine in radians

>>> from math import isclose, cos
>>> all(isclose(maclaurin_cos(x, 50), cos(x)) for x in range(-25, 25))
True
>>> maclaurin_cos(5)
0.2836621854632268
>>> maclaurin_cos(-5)
0.2836621854632265
>>> maclaurin_cos(10, 15)
-0.8390715290764524
>>> maclaurin_cos(-10, 15)
-0.8390715290764521
>>> maclaurin_cos("10")
Traceback (most recent call last):
    ...
ValueError: maclaurin_cos() requires either an int or float for theta
>>> maclaurin_cos(10, -30)
Traceback (most recent call last):
    ...
ValueError: maclaurin_cos() requires a positive int for accuracy
>>> maclaurin_cos(10, 30.5)
Traceback (most recent call last):
    ...
ValueError: maclaurin_cos() requires a positive int for accuracy
>>> maclaurin_cos(10, "30")
Traceback (most recent call last):
    ...
ValueError: maclaurin_cos() requires a positive int for accuracy

maths.maclaurin_series.maclaurin_sin(theta: float, accuracy: int = 30) → float

Finds the maclaurin approximation of sin

Parameters:

• theta – the angle to which sin is found

• accuracy – the degree of accuracy wanted minimum

Returns:

the value of sine in radians

>>> from math import isclose, sin
>>> all(isclose(maclaurin_sin(x, 50), sin(x)) for x in range(-25, 25))
True
>>> maclaurin_sin(10)
-0.5440211108893691
>>> maclaurin_sin(-10)
0.5440211108893704
>>> maclaurin_sin(10, 15)
-0.544021110889369
>>> maclaurin_sin(-10, 15)
0.5440211108893704
>>> maclaurin_sin("10")
Traceback (most recent call last):
    ...
ValueError: maclaurin_sin() requires either an int or float for theta
>>> maclaurin_sin(10, -30)
Traceback (most recent call last):
    ...
ValueError: maclaurin_sin() requires a positive int for accuracy
>>> maclaurin_sin(10, 30.5)
Traceback (most recent call last):
    ...
ValueError: maclaurin_sin() requires a positive int for accuracy
>>> maclaurin_sin(10, "30")
Traceback (most recent call last):
    ...
ValueError: maclaurin_sin() requires a positive int for accuracy