Python

Ok I have a harder one now, I have to get the sine function, based on this equation:

the input variables are x and p, p being precision, where the difference between the abs of 2 consecutive values has to be lower than p for the thing to be precise.

Once again, ignore my annotations as they are in spanish, and there's a lot of them:#neutros y contadores

 Spoiler

Code:

r=1
s=0
n=float('inf')
suma=0
#angulo y precision
x=float(raw_input('angulo: '))
p=float(raw_input('precision: '))

#inicia ciclo infinito
while True:
    f=1 #para definir factorial
    if s>1: #no puede definir antes
        n=abs(frac)-abs(t)
        #diferencia para medir precision
    if s>=1:
        t=frac
            #valor de fraccion en dia anterior
    for i in range (1,r+1):
        f=f*i
        #marca factorial de esta iteracion
    while n>p:
        frac=((-1)**s)*((x**r)/f)
        #calcula el termino de la ecuacion
        suma=frac+suma
        s=s+1
        r=r+2
    if n<=p:
        #se cumple precision
        break
print suma
#neutros y contadores
r=1
s=0
n=float('inf')
suma=0
#angulo y precision
x=float(raw_input('angulo: '))
p=float(raw_input('precision: '))

#inicia ciclo infinito
while True:
    f=1 #para definir factorial
    if s>1: #no puede definir antes
        n=abs(frac)-abs(t)
        #diferencia para medir precision
    if s>=1:
        t=frac
            #valor de fraccion en dia anterior
    for i in range (1,r+1):
        f=f*i
        #marca factorial de esta iteracion
    while n>p:
        frac=((-1)**s)*((x**r)/f)
        #calcula el termino de la ecuacion
        suma=frac+suma
        s=s+1
        r=r+2
    if n<=p:
        #se cumple precision
        break
print suma

the example given to us is:
x: 0.5236
p: 0.01
output:0.500003192986

When I try it out, it looks like there's a problem with my 'frac' that goes to 0 and reaches an endless loop.
Any ideas on how to make it work?