1. The problem statement, all variables and given/known data Find the Taylor series for f(x) = sin x centered at a = pi / 2 2. Relevant equations 3. The attempt at a solution Taylor series is a new series for me. I believe the first step is to start taking the derivative of the Taylor series. f(x) = sinx f'(x) = cosx f''(x) = -sinx f'''(x) = -cosx f(4)x= sinx ... f(n)x = sin(x)^n now do i start plugging in the a = pi/2 for x? Okay, not sure what i'm trying to prove with a taylor series, and why to use it, whats next. Also, I have to prove that the series converges to sinx on (-infinity, infinity) Thanks.