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Mathematics
Problem
If
x
+
i
y
=
a
+
i
b
a
−
i
b
x + iy = \frac{a+ib}{a-ib}
x
+
i
y
=
a
−
ib
a
+
ib
, prove that
x
2
+
y
2
=
1
x^2 + y^2 = 1
x
2
+
y
2
=
1
.
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