Maclaurin Series of cos(x) = 1 - x2/2! + x4/4! - x6/6! + ... (alternating signs, only even powers (cosx is an even function))
The set up you have isn't quite right. it should read __(x2/2) which has a coefficient of -1. odd power coefficients are 0.
This can be derived or looked up in text or Google.
JACQUES D.
tutor
f(x) =f(0) + f'(0)x + f''(0)x^2/2!+... You are evaluating cos(0), -sin(0), -cos(0),sin(0) which results in coefficients 1,0,-1,0,...
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08/07/22
Lee J.
How does these types of equation works, i get that we differentiate the equation and then plug in equations but like when implying d/dx(cos(x)) = -sin(x) then how is it converted in to fraction like ___/2x^2 and so on. is there a basic formula to use?08/07/22