12.20 Show that the Fourier series for |sinθ| in the range –π < 0 < π is given by M8 Σ | sin 0| m=1 1 = 4m2 2 By setting 0 = 0 and 0 = π /2, deduce values for 1 π 4 π ∞0 and m=1 cos 2mθ 4m2 – 1 ∞o Σ m=1 1 16m2 – 1
12.20 Show that the Fourier series for |sinθ| in the range –π < 0 < π is given by M8 Σ | sin 0| m=1 1 = 4m2 2 By setting 0 = 0 and 0 = π /2, deduce values for 1 π 4 π ∞0 and m=1 cos 2mθ 4m2 – 1 ∞o Σ m=1 1 16m2 – 1
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Transcribed Image Text:12.20
Show that the Fourier series for |sinθ| in the range –π < 0 < π is given by
M8
Σ
| sin 0|
m=1
1
=
4m2
2
By setting 0 = 0 and 0 = π /2, deduce values for
1
π
4
π
∞0
and
m=1
cos 2mθ
4m2 – 1
∞o
Σ
m=1
1
16m2 – 1
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