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Mathematics
Problem
If
m
m
m
and
x
x
x
are two real numbers and
i
=
−
1
i=\sqrt{-1}
i
=
−
1
, prove that
e
2
m
i
cot
−
1
x
(
x
i
+
1
x
i
−
1
)
m
=
1.
e^{2mi\cot^{-1}x}\left(\frac{xi+1}{xi-1}\right)^m=1.
e
2
mi
c
o
t
−
1
x
(
x
i
−
1
x
i
+
1
)
m
=
1.
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