If sec ? + tan ? = x, prove that sin ? = x2-1

If sec theta+tan theta = x , prove that sin theta= (x^2-1)/(x^2+1)

If sec A = x + 1/(4x) , prove that sec A + tan A = 2x or (1)/(2x)

Given f(x)=(1)/(secx - tan x) , prove that f'(x)= sec x (sec x +tan x)

if y = tan x + sec x, prove that (d ^ (2) y) / (dx ^ (2)) = (cos x) / ((1-sin x) ^ (2))

If sec A = x+(1)/(4x) prove that: sec A + tan A = 2x or (1)/(2x) (b) If "tan" theta = (p)/(q) ,show that : (p sin theta - q costheta)/(p"sin"theta+qcostheta)=( p^(2) - q^(2))/(p^(2)+q^(2))

Prove that: If tan A=x tan B, prove that (sin(A-B))/(sin(A+B))=(x-1)/(x+1)

If sec theta=x+(1)/(4x), then prove that sec theta+tan theta=2x or (1)/(2x)

If sec theta=x+(1)/(4x), prove that :sec theta+tan theta=2x or ,(1)/(2x)

If x=(11 pi)/4 , prove that : sin^2 x- cos^2 x+2 tan x- sec^2 x=1 .

If A +B = 90 , prove that 1+ tan A/tan B + sin^2 A+ sin^2 B = 1+ sec^2 A .