A program to define sine function

[mohanp06]

I am a technical person but new to python. I like math, science and coding. So here I wrote a small python code to define sine function as a series. (For mathematical definition go here)

#To find sine of any angle in radians from the series expansion of sine function
# n indicates the number of terms used from the series expansion for calculation

import math

def sine(x,n):

    pmax=2*n+2 #max exponent
    ans=0 # variable to hold the final answer

    for i in range(1,pmax,2):

        if(i%4==1):
            sign=1
        else:
            sign=-1

        ans+=sign*x**i/math.factorial(i)

    return ans
#demo
print(sine(6,25))

How do you find this code? Can I improve it in any way or is it fine?
Also it gives errors for very high value of x, I'm not sure it's mathematical or a coding issue.

Many Thanks!