If the chord through the points (a sec t...

If the chord through the points `(a sec theta, b tan theta)` and `(a sec phi, b tan phi)` on the hyperbola `x^2/a^@ - y^2/b^2 = 1` passes through a focus, prove that `tan theta/2 tan phi/2 + (e-1)/(e+1) = 0`.

`(e-1)/(e+1)`

`(1-e)/(1+e)`

`(1+e)/(1-e)`

`(e+1)/(e-1)`

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