Find the first 4 terms (k=0,1,2,3) of the Taylor polynomial for f(x) = sin(x) centered at c=(pi/4)

sin(x) = Sum(k-->0 to inf)[((-1)^k * x^(2k+1))/((2k+1)!)]

[f^(k) * (c) * (x^(2k+1))] / (k!)

^^^^ f^(k) = kth derivative of f

I get

x - ((x^3)/3!) - ((x^5)/5!) - ((x^7)/7!)

Is that correct?