Rectangular Hyperbola Calculator
(x/a) ² – (y/b) ² = 1
x = a cosh ty = b sinh t

Focus-Directrix

on x-axis ...
Foci =
Directrices , x =
Eccentricity , ε =
P(x, y)
to
+ Focus =
P(x, y)
to
– Focus =
P(x, y)
to
+ Directrix =
P(x, y)
to
– Directrix =

Cartesian Equation
(bx) ²
–
(ay) ²
= (ab) ²

Coefficient of x ² ...
b ² =
Coefficient of y ² ...
– a ² =
(ab) ² =
Slope
of
Asymptotes =
Slope
at
(x, y) =
x-intercept
of
Tangent =
y-intercept
of
Tangent =

Parameter Related Values

sinh t =
cosh t =
tanh t =
Arc Length =
Simpson's Rule ...
Area =
.5 ( xy – abt)
...
Area =
.5abt
...
Sector Area =

Pole at Origin

Magnitude ...
r =
Degrees ...
θ =
Radians ...
θ =

Pole at Focus

Eccentricity , ε =
k =
Magnitude ...
r =
Degrees ...
θ =
Radians ...
θ =