Overview part 2: the following general facts are true: 1. c. sin(x) = 0 for any constant (function) c and any integer n. 2. c. cos(n) = 0 for any constant (function) c and any integer n > 1. 3. c c2 = 27c1c2 for any constants ci and c2. 4. cos(nx) ⢠cos(n.2) = at for any integer n > 1. 5. sin(n.2) sin(n.) = for any integer n > 1. 6. cos(n.) sin(m.) = 0 for any integers n and m. 7. cos(n.) cos(ma) = 0 for any two different integers n and m. 8. sin(n. x) sin(m2) = 0 for any two different integers n and m. a function is periodic if it eventually repeats. the sine and cosine functions, for example, are periodic with period 27. a fourier series is an alternative to a power series for periodic functions. in this assignment we will focus on functions that are also periodic with period 27. a power series represents a function using different powers of 2. a fourier series represents a periodic function using different sines and cosines: |(2) = (a cos(n.) + bry sin(n.2)) t=0 we could find the coefficients of a function's power series by using derivatives. but how do we find the coefficients of a function's fourier series? assignment part 2: question 4: let m be some integer > 1. if 2) = (an cos(n.2) + br sin(n.2)) t=0 then what's () cos(mr)? use the general facts from above and write the simplest expression you can.