Let `(5 tan theta , 3 sec theta)` be a point on the hyperbola for all values of `theta ne (2n + 1) pi/2` , then find the eccentricity of the hyperbola is

If any point on a hyperbola is (3tan theta,2sec theta) then eccentricity of the hyperbola is

If sec theta is the eccentricity of a hyper bola then the eccentricity of the conjugate hyperbola is

If sec theta is the eccentricity of a hyper bola then the eccentricity of the conjugate hyperbola is

If sec theta + tan theta = 1/2 then find sin theta value.

if sec theta+tan theta=2 then find the the value of sec theta.

Let A(sec theta , 2 tan theta) and B(sec phi , 2 tan phi) , where theta+phi=pi//2 be two points on the hyperbola 2x^(2)-y^(2)=2 . If (alpha, beta) is the point of the intersection of the normals to the hyperbola at A and B, then (2beta)^(2) is equal to _________.

tan^(2)theta+sec theta=5, then find the value of cos theta

If tan^(2)theta-sec theta-5=0 for exactly 9 values of theta in[0,(n pi)/(2)];n in N, then the greatest value of n is