Fourier Series

# Fourier Series - a cos bx b sin bx C Values of Sine and...

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Necessary Formulas for Fourier Series Trigonometry 1. cos 2 A = 1 + cos 2 A 2 2. sin 2 A = 1 - cos 2 A 2 3. sin A sin B = 1 2 cos( A - B ) - 1 2 cos( A + B ) 4. cos A cos B = 1 2 cos( A - B ) + 1 2 cos( A + B ) 5. sin A cos B = 1 2 sin( A - B ) + 1 2 sin( A + B ) A Table of Integrals 1. x sin axdx = 1 a 2 sin ax - x a cos ax + C 2. x cos axdx = 1 a 2 cos ax + x a sin ax + C 3. x n sin axdx = - x n a cos ax + n a x n - 1 cos axdx 4. x n cos axdx = x n a sin ax - n a x n - 1 sin axdx 5. e ax sin bxdx = e ax a 2 + b 2 ( a sin bx - b cos bx ) + C 6. e ax cos bxdx = e
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Unformatted text preview: a cos bx + b sin bx ) + C Values of Sine and Cosine Functions 1. sin nπ = 0 2. cos nπ = (-1) n 3. sin 2 nπ = 0 4. cos 2 nπ = 1 5. cos nπ 2 = (-1) n/ 2 1 + (-1) n 2 6. sin nπ 2 = (-1) ( n +3) / 2 1-(-1) n 2...
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