If `(a sec theta, b tan theta)` and `(a sec phi, b tan phi)` are the ends of a focal chord of `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`, then prove that `tan.(theta)/(2)tan.(phi)/(2)=(1-e)/(1+e)`.

If (asectheta;btantheta) and (asecphi; btanphi) are the ends of the focal chord of x^2/a^2-y^2/b^2=1 then prove that tan(x/a)tan(phi/2)=(1-e)/(1+e)

If (asectheta, btantheta) and (asecphi, btanphi) be two coordinate of the ends of a focal chord passing through (ae,0) of x^2/a^2-y^2/b^2=1 then tan(theta/2)tan(phi/2) equals to

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^2 - y^2/b^2 = 1 passes through a focus, prove that tan (theta/2) tan (phi/2) + (e-1)/(e+1) = 0 .

Prove that sec theta + tan theta = tan (pi/4 + theta/2)

If sec theta+tan theta=(1)/(2) The value of sec theta=

Prove that (sec^(2)theta-1)/(tan^(2)theta)=1

Prove that 1 + tan 2 theta tan theta = sec 2 theta .

If sec theta+tan theta=(1)/(2) The value of tan theta =

Prove that: tan(pi/4+theta)+tan(pi/4-theta)=2sec2theta .

If 1+ tan^(2) theta = sec^(2) theta then find (sec theta + tan theta)