
'''simple docstring'''







from math import factorial, radians







def        SCREAMING_SNAKE_CASE__			(     __A    ,       __A = 18    ,       __A = 10			) ->			float:
	_snake_case     		=	angle_in_degrees - ((angle_in_degrees // 3_6_0.0) * 3_6_0.0)

	# Converting from degrees to radians
	_snake_case     		=	radians(__A			)

	_snake_case     		=	angle_in_radians
	_snake_case     		=	3
	_snake_case     		=	-1

	for _ in range(__A			):
		result += (b * (angle_in_radians**a)) / factorial(__A			)

		_snake_case     		=	-b  # One positive term and the next will be negative and so on...
		a += 2  # Increased by 2 for every term.

	return round(__A    ,       __A			)


if __name__ == "__main__":
					__import__("doctest").testmod()



'''simple docstring'''







from sympy import diff, lambdify, symbols
from sympy.functions import *  # noqa: F403







def        SCREAMING_SNAKE_CASE__			(     __A    ,       __A    ,       __A = "x"    ,       __A = 10**-10    ,       __A = 1    ,       ) ->			complex:
	_snake_case     		=	symbols(__A			)
	_snake_case     		=	lambdify(__A    ,       __A			)
	_snake_case     		=	lambdify(__A    ,       diff(__A    ,       __A			)			)

	_snake_case     		=	starting_point

	while True:
		if diff_function(__A			) != 0:
			_snake_case     		=	prev_guess - multiplicity * func(__A			) / diff_function(
			    __A			)
		else:
			raise ZeroDivisionError('Could not find root'			) from None

		# Precision is checked by comparing the difference of consecutive guesses
		if abs(next_guess - prev_guess			) < precision:
			return next_guess

		_snake_case     		=	next_guess


# Let's Execute
if __name__ == "__main__":
					# Find root of trigonometric function
					# Find value of pi
					print(F'''The root of sin(x) = 0 is {newton_raphson("sin(x)", 2)}''')

					# Find root of polynomial
					# Find fourth Root of 5
					print(F'''The root of x**4 - 5 = 0 is {newton_raphson("x**4 -5", 0.4 +5J)}''')

					# Find value of e
					print(
					    "The root of log(y) - 1 = 0 is ",
					    F'''{newton_raphson("log(y) - 1", 2, variable="y")}''',
					)

					# Exponential Roots
					print(
					    "The root of exp(x) - 1 = 0 is",
					    F'''{newton_raphson("exp(x) - 1", 10, precision=0.005)}''',
					)

					# Find root of cos(x)
					print(F'''The root of cos(x) = 0 is {newton_raphson("cos(x)", 0)}''')

