The functions cosx and sinx form an orthonormal set in C Iuml Iuml If f(x) 3 cosx 2 sin x and g(x) cosx sin x use Corollary 5 5 3 to determine the value of (f, g) f(x)g(x)dx

Question: The functions cosx and sinx form an orthonormal set in C[-Ï. Ï]. If f(x) = 3 cosx + 2 sin x and g(x) = cosx

The functions cosx and sinx form an orthonormal set in C[-Ï€. Ï€]. If
f(x) = 3 cosx + 2 sin x and g(x) = cosx - sin x
use Corollary 5.5.3 to determine the value of

(f, g) = f(x)g(x)dx

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