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Mathematics
Problem
A hyperbola is defined parametrically by
x
=
3
(
e
t
+
e
−
t
)
2
x = \frac{3(e^{t} + e^{-t})}{2}
x
=
2
3
(
e
t
+
e
−
t
)
and
y
=
4
(
e
t
−
e
−
t
)
2
y = \frac{4(e^{t} - e^{-t})}{2}
y
=
2
4
(
e
t
−
e
−
t
)
. Find the distance between the directrices of this hyperbola.
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