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Mathematics
Problem
Prove that for every positive real number
x
x
x
,
arctan
x
+
arctan
(
1
x
)
=
π
2
\arctan x+\arctan\left(\dfrac{1}{x}\right)=\dfrac{\pi}{2}
arctan
x
+
arctan
(
x
1
)
=
2
π
.
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