From dd37aa3eae1e2a9e7bb6cbb04ceae6654fc68adf Mon Sep 17 00:00:00 2001
From: Chris O <46587501+ChrisO345@users.noreply.github.com>
Date: Sat, 22 Oct 2022 23:17:47 +1300
Subject: [PATCH 1/3] renamed maclaurin_sin.py to maclaurin_series.py and
 included function for cos approximation

---
 .../{maclaurin_sin.py => maclaurin_series.py} | 57 +++++++++++++++++++
 1 file changed, 57 insertions(+)
 rename maths/{maclaurin_sin.py => maclaurin_series.py} (50%)

diff --git a/maths/maclaurin_sin.py b/maths/maclaurin_series.py
similarity index 50%
rename from maths/maclaurin_sin.py
rename to maths/maclaurin_series.py
index 3c27ccf63d70..c4530d3b0e7f 100644
--- a/maths/maclaurin_sin.py
+++ b/maths/maclaurin_series.py
@@ -57,8 +57,65 @@ def maclaurin_sin(theta: float, accuracy: int = 30) -> float:
     )
 
 
+def maclaurin_cos(theta: float, accuracy: int = 30) -> float:
+    """
+    Finds the maclaurin approximation of cos
+
+    :param theta: the angle to which cos is found
+    :param accuracy: the degree of accuracy wanted minimum ~ 1.5 theta
+    :return: the value of cose 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)
+    0.28366218546322675
+    >>> maclaurin_cos(-5)
+    0.2836621854632266
+    >>> maclaurin_cos(10, 15)
+    -0.8390715290764525
+    >>> 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
+    """
+
+    if not isinstance(theta, (int, float)):
+        raise ValueError("maclaurin_cos() requires either an int or float for theta")
+
+    if not isinstance(accuracy, int) or accuracy <= 0:
+        raise ValueError("maclaurin_cos() requires a positive int for accuracy")
+
+    theta = float(theta)
+    div = theta // (2 * pi)
+    theta -= 2 * div * pi
+    return sum(
+        (((-1) ** r) * ((theta ** (2 * r)) / factorial(2 * r)))
+        for r in range(accuracy)
+    )
+
+
 if __name__ == "__main__":
     print(maclaurin_sin(10))
     print(maclaurin_sin(-10))
     print(maclaurin_sin(10, 15))
     print(maclaurin_sin(-10, 15))
+    print(maclaurin_cos(5))
+    print(maclaurin_cos(-5))
+    print(maclaurin_cos(10, 15))
+    print(maclaurin_cos(-10, 15))

From eb473a5bf747225db1121c712fb4fe8285ff1e33 Mon Sep 17 00:00:00 2001
From: "pre-commit-ci[bot]"
 <66853113+pre-commit-ci[bot]@users.noreply.github.com>
Date: Sat, 22 Oct 2022 10:21:33 +0000
Subject: [PATCH 2/3] [pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci
---
 maths/maclaurin_series.py | 3 +--
 1 file changed, 1 insertion(+), 2 deletions(-)

diff --git a/maths/maclaurin_series.py b/maths/maclaurin_series.py
index c4530d3b0e7f..63c4df239419 100644
--- a/maths/maclaurin_series.py
+++ b/maths/maclaurin_series.py
@@ -105,8 +105,7 @@ def maclaurin_cos(theta: float, accuracy: int = 30) -> float:
     div = theta // (2 * pi)
     theta -= 2 * div * pi
     return sum(
-        (((-1) ** r) * ((theta ** (2 * r)) / factorial(2 * r)))
-        for r in range(accuracy)
+        (((-1) ** r) * ((theta ** (2 * r)) / factorial(2 * r))) for r in range(accuracy)
     )
 
 

From af61e574d34558e012b4c4088faf9696f437d0a2 Mon Sep 17 00:00:00 2001
From: Chris O <46587501+ChrisO345@users.noreply.github.com>
Date: Sat, 22 Oct 2022 23:42:45 +1300
Subject: [PATCH 3/3] attempt to fix pytest error

---
 maths/maclaurin_series.py | 7 ++++---
 1 file changed, 4 insertions(+), 3 deletions(-)

diff --git a/maths/maclaurin_series.py b/maths/maclaurin_series.py
index 63c4df239419..57edc90bf676 100644
--- a/maths/maclaurin_series.py
+++ b/maths/maclaurin_series.py
@@ -9,7 +9,7 @@ def maclaurin_sin(theta: float, accuracy: int = 30) -> float:
     Finds the maclaurin approximation of sin
 
     :param theta: the angle to which sin is found
-    :param accuracy: the degree of accuracy wanted minimum ~ 1.5 theta
+    :param accuracy: the degree of accuracy wanted minimum
     :return: the value of sine in radians
 
 
@@ -62,8 +62,8 @@ def maclaurin_cos(theta: float, accuracy: int = 30) -> float:
     Finds the maclaurin approximation of cos
 
     :param theta: the angle to which cos is found
-    :param accuracy: the degree of accuracy wanted minimum ~ 1.5 theta
-    :return: the value of cose in radians
+    :param accuracy: the degree of accuracy wanted
+    :return: the value of cosine in radians
 
 
     >>> from math import isclose, cos
@@ -114,6 +114,7 @@ def maclaurin_cos(theta: float, accuracy: int = 30) -> float:
     print(maclaurin_sin(-10))
     print(maclaurin_sin(10, 15))
     print(maclaurin_sin(-10, 15))
+
     print(maclaurin_cos(5))
     print(maclaurin_cos(-5))
     print(maclaurin_cos(10, 15))