- #1
KMjuniormint5
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Homework Statement
Find the Fourier series of f(x) = sin^2(x)
Homework Equations
bn = because f(x) is even
ao = (1/(2*∏))*∫(f(x)) (from 0 to 2*∏)
an = (1/(∏))*∫(f(x)*cos(x)) (from 0 to 2*∏)
The Attempt at a Solution
ao = (1/(2*∏))*∫(f(x)) (from 0 to 2*∏) = ao = 1/2
an = (1/(∏))*∫(f(x)*cos(x)) (from 0 to 2*∏) = sin^3(x) from 0 to 2∏ and I keep resulting in zero
the answer is to the Fourier series I know is 1/2 - (cos(2x))/2 how to get the cos(2x)/2 part. Is there a trig identity I am missing?