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Problem
Problem
Let
n
n
n
be an odd integer. If
sin
n
θ
=
∑
r
=
0
n
b
r
sin
r
θ
\sin n\theta = \sum_{r=0}^{n} b_r \sin^r \theta
sin
n
θ
=
∑
r
=
0
n
b
r
sin
r
θ
for all real
θ
\theta
θ
, then a.
b
0
=
1
,
b
1
=
3
b_0 = 1, b_1 = 3
b
0
=
1
,
b
1
=
3
b.
b
0
=
0
,
b
1
=
n
b_0 = 0, b_1 = n
b
0
=
0
,
b
1
=
n
c.
b
0
=
−
1
,
b
1
=
n
b_0 = -1, b_1 = n
b
0
=
−
1
,
b
1
=
n
d.
b
0
=
0
,
b
1
=
n
2
−
3
n
−
3
b_0 = 0, b_1 = n^2 - 3n - 3
b
0
=
0
,
b
1
=
n
2
−
3
n
−
3
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