Formula q_366
(Q253)
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Formula q_366
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arqmath formula id
q_366
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Defining formula
|
(
1
)
sin
(
x
)
(
1
)
sin
(
2
x
)
(
1
)
sin
(
3
x
)
.
.
.
(
1
)
sin
(
n
x
)
(
1
)
cos
(
x
)
(
2
)
cos
(
2
x
)
(
3
)
cos
(
3
x
)
.
.
.
(
n
)
cos
(
n
x
)
−
(
1
)
2
sin
(
x
)
−
(
2
)
2
sin
(
2
x
)
−
(
3
)
2
sin
(
3
x
)
.
.
.
−
(
n
)
2
sin
(
n
x
)
−
(
1
)
3
cos
(
x
)
−
(
2
)
3
cos
(
2
x
)
−
(
3
)
3
cos
(
3
x
)
.
.
.
−
(
n
)
3
cos
(
n
x
)
|
{\displaystyle {\begin{vmatrix}(1)\sin(x)&(1)\sin(2x)&(1)\sin(3x)&...&(1)\sin(nx)\\(1)\cos(x)&(2)\cos(2x)&(3)\cos(3x)&...&(n)\cos(nx)\\-(1)^{2}\sin(x)&-(2)^{2}\sin(2x)&-(3)^{2}\sin(3x)&...&-(n)^{2}\sin(nx)\\-(1)^{3}\cos(x)&-(2)^{3}\cos(2x)&-(3)^{3}\cos(3x)&...&-(n)^{3}\cos(nx)\\\end{vmatrix}}}
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