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PEN F Problems
2
2
Part of
PEN F Problems
Problems
(1)
F 2
Source:
5/25/2007
Find all
x
x
x
and
y
y
y
which are rational multiples of
π
\pi
π
with
0
<
x
<
y
<
π
2
0<x<y<\frac{\pi}{2}
0
<
x
<
y
<
2
π
and
tan
x
+
tan
y
=
2
\tan x+\tan y =2
tan
x
+
tan
y
=
2
.
trigonometry
algebra
polynomial
rational numbers