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Mathematics
Mathematics
Problem
If
sin
3
x
sin
3
x
=
∑
m
=
0
n
c
m
⋅
cos
m
x
\sin^3 x \sin 3x = \sum_{m=0}^{n} c_m \cdot \cos mx
sin
3
x
sin
3
x
=
∑
m
=
0
n
c
m
⋅
cos
m
x
is an identity in
x
x
x
, where
c
m
c_m
c
m
's are constants, then find the value of
n
n
n
.
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