Determine the number of terms necessary to approximate cos x to 8 significant figures using the Maclaurim series approximation 2 4 6 8 cosx=1-x+X-X+X... 2 4 6 8!

The Fourier series of the function is given by where Co = C₂ and b₂ f(x) ~ -Σ ~CO- n=0 [-7x if =

This question is about trigonometric Fourier Series.

Qs) Given fCx) has period 2T and is given by; fCx) = S(xrT)? +8 1. graph of the interval Sketch the the function in 2. Determine the fourier representation of for fl3),fap(3) 3. Find approximation fourier an Using the where a, Counts Series from Question 2 as the Rest term including terms from to 4. and n=1