Question: Consider the functions 1 - cos(x (s(a) 2(2) = sin2(x) 1 + CoS(r Using some trig identities, show that fi(x) -f2(x). (Please show your work

Consider the functions 1 - cos(x (s(a) 2(2) = sin2(x) 1

Consider the functions 1 - cos(x (s(a) 2(2) = sin2(x) 1 + CoS(r Using some trig identities, show that fi(x) -f2(x). (Please show your work on this one.) Implement fi and f2 in Matlab. Make a table of your Matlab implementations evaluated at the points k 10- for k0, 12. You should see that f loses all accuracy as k increases (that is, as rk approaches zero), while f2 retains its accuracy. Explain why. (Hint: For a detailed description, see Chapter 0.4 in Sauer's Numerical Analysis.)

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