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Mathematics
Mathematics
Problem
If
α
\alpha
α
,
β
\beta
β
are eccentric angles of end points of a focal chord of the ellipse
x
2
a
2
+
y
2
b
2
=
1
\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1
a
2
x
2
+
b
2
y
2
=
1
, then
tan
α
2
⋅
tan
β
2
\tan \frac{\alpha}{2} \cdot \tan \frac{\beta}{2}
tan
2
α
⋅
tan
2
β
is equal to -
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