Fourier Series Coefficients: Odd & Half-Wave Symmetry | GATE EC 2017 Question 8

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EC > GATE 2017 SET-1 > Fourier Series

A periodic signal x(t) has a trigonometric Fourier series expansion x(t)=a₀+∑_n=1^∞(a_ncos nω₀t+b_nsin nω₀t) If x(t)=-x(-t)=-x(t-π/ω₀). we can conclude that

A

a_n are zero for all n and b_n are zero for n even

B

a_n are zero for all n and b_n are zero for n odd

C

a_n are zero for n even and b_n are zero for n odd

D

a_n are zero for n odd and b_n are zero for n even

Explanation

Correct : a

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