`x=a sectheta, y=btan theta`

Eliminate theta in each of the following : x=asec theta, y=btan theta

Eliminate theta,if x=a sectheta y=b tantheta

S.T the tangent at any point theta on the curve x=c sectheta, y=c tan theta " is " ysintheta=x-costheta .

Find the equation of the tangent to the hyperbola, x=3 sectheta, y=5 tantheta at theta =pi/3

If x=2sectheta , y=2tantheta then x^2-y^2 =……..

If x =a sqrt( sectheta -tan theta) ,y=a sqrt(sectheta +tan theta ), then (dy)/(dx) =

Prove that: 1/(sectheta - tantheta) = sectheta + tan theta