If `x sec alpha+y tan alpha=x sec beta+y tan beta=a`, then `sec alpha*sec beta=`

If (a sec alpha,b tan alpha) and (a sec beta ,b tan beta) be the ends of a chord of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 passing through the focus (ae,0) then tan (alpha/2) tan (beta/2) is equal to

If a sec alpha-c tan alpha=d and b sec alpha + d tan alpha=c , then eliminate alpha from above equations.

If (sec alpha+tan alpha)(sec beta+tan beta)(sec gamma+tan gamma)=tan alpha tan beta tan gamma, then (sec alpha-tan alpha)(sec beta-tan beta)(sec gamma-tan gamma)=

If 2 sec 2 alpha = tan beta + cot beta, then one of the values of alpha + beta is

If tan gamma=sec alpha sec beta+tan alpha tan beta, then cos2 gamma is necessarily (A) ge0 (B) le0 (C) lt0 (D) gt0

If : a * sec alpha+b * tan alpha=m and : atan alpha+b * sec alpha=n, then : a^(2)-b^(2) =

If P(a sec alpha,b tan alpha) and Q(a secbeta, b tan beta) are two points on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 such that alpha-beta=2theta (a constant), then PQ touches the hyperbola

If 2tan alpha=3tan beta then tan(alpha-beta)=

(tan alpha+cos ec beta)^(2)-(cot beta-sec alpha)^(2)=2tan alpha cot beta(cos ec alpha+sec beta)

If alpha+beta=90^(@) and beta+gamma=alpha then tan alpha-tan beta=?