A numerical method of harmonic analysis 639
Table 70.1
Ordinates
θ ◦
V
cos θ
V cos θ
sin θ
V sin θ
cos 2θ
V cos 2θ
sin 2θ
V sin 2θ
cos 3θ V cos 3θ
sin 3θ
V sin 3θ
y 1
30
62
0.866
53.69
0.5
31
0.5
31
0.866
53.69
0
0
1
62
y 2
60
35
0.5
17.5
0.866
30.31
−0.5
−17.5
0.866
30.31
−1
−35
0
0
y 3
90 −38
0
0
1
−38
−1
38
0
0
0
0
−1
38
y 4
120 −64
−0.5
32
0.866
−55.42
−0.5
32
−0.866
55.42
1
−64
0
0
y 5
150 −63
−0.866
54.56
0.5
−31.5
0.5
−31.5
−0.866
54.56
0
0
1
−63
y 6
180 −52
−1
52
0
0
1
−52
0
0
−1
52
0
0
y 7
210 −28
−0.866
24.25
−0.5
14
0.5
−14
0.866 −24.25
0
0
−1
28
y 8
240
24
−0.5
−12
−0.866
−20.78
−0.5
−12
0.866
20.78
1
24
0
0
y 9
270
80
0
0
−1
−80
−1
−80
0
0
0
0
1
80
y 10
300
96
0.5
48
−0.866
−83.14
−0.5
−48
−0.866 −83.14
−1
−96
0
0
y 11
330
90
0.866
77.94
−0.5
−45
0.5
45
−0.866 −77.94
0
0
−1
−90
y 12
360
70
1
70
0
0
1
70
0
0
1
70
0
0
12
k=1
y k = (212)
12
k=1
y k cos θ k
12
k=1
y k sin θ k
12
k=1
y k cos 2θ k
12
k=1
y k sin 2θ k
12
k=1
y k cos 3θ k
12
k=1
y k sin 3θ k
= 417.94
= −278.53
= −39
= 29.43
= −49
= 55