Синус и косинус

data = ['sin', 1.57, 3]
print(trigonometric_function(*data))

data = ['cos', 1.047, 4]
print(trigonometric_function(*data))

from math import sin,cos
 
def trig(*data):
    func=data[0]
    arg=data[1]
    return eval(func+"("+str(arg)+")")
    
print(trig('sin',1.57))

data = ['cos', 1.1181, 1]
print(trigonometric_function(*data))

    
def trigonometric_function(*data):
    def sin(x, k):
        f, xi, q, fact = x, x, -x*x, 1
        for i in range(k):
            fact *= 2*(i+1) * (2*(i+1)+1)
            xi *= q
            f += xi/fact
        return f
        
    def cos(x, k):
        f, xi, q, fact = 1, 1, -x*x, 1
        for i in range(k):
            fact *= 2*(i+1)*(2*(i+1)-1)
            xi *= q
            f += xi/fact
        return f 
    
    return eval(f'{data[0]}({data[1]},{data[2]})')
 
 
s = (['sin', 1.57, 3], ['cos', 1.047, 4], ['cos', 1.1181, 1])
for data in s:
    print(trigonometric_function(*data))

if data[0] in {'sin', 'cos'}:

def trigonometric_function(*data):
    def sin(x, k):
        f, xi, q, fact = x, x, -x*x, 1
        for i in range(k):
            fact *= 2*(i+1) * (2*(i+1)+1)
            xi *= q
            f += xi/fact
        return f
        
    def cos(x, k):
        f, xi, q, fact = 1, 1, -x*x, 1
        for i in range(k):
            fact *= 2*(i+1)*(2*(i+1)-1)
            xi *= q
            f += xi/fact
        return f 
    map_ = {"sin": sin, "cos": cos}
    return map_[data[0]](*data[1:])
 
 
s = (['sin', 1.57, 3], ['cos', 1.047, 4], ['cos', 1.1181, 1])
for data in s:
    print(trigonometric_function(*data))