` tan 2 A = (sec 2 A +1 ) sqrt ( (sec ^(2) A -1)) , A `belongs to I or IV Quad.

1+tan A tan2A=sec2A

int sec x tan x sqrt(sec^(2) x+1)dx

Prove that tan 2 A - sec A sin A = tan A sec 2 A.

Evaluate : int sec x tan x sqrt(4 sec^(2) x- 1) dx

Prove that : sqrt (sec^(2) A + cosec^(2) A) = tan A + cot A

Prove that : (cot A - 1)/ (2 - sec^(2) A) = (cot A)/ (1 + tan A)

If a chord joining P(a sec theta, a tan theta), Q(a sec alpha, a tan alpha) on the hyperbola x^(2)-y^(2) =a^(2) is the normal at P, then tan alpha is (a) tan theta (4 sec^(2) theta+1) (b) tan theta (4 sec^(2) theta -1) (c) tan theta (2 sec^(2) theta -1) (d) tan theta (1-2 sec^(2) theta)

Prove that (sec 8A-1)/( sec 4 A -1) = ( tan 8 A)/( tan 2A).

sec^(2) (tan^(-1) 4) + cosec^(2) (cot ^(-1) 3) =?

Prove that : (tan A + sec A - 1)/ (tan A - sec A + 1) = (1 + sin A)/ (cos A)