If ` a sin x = b cos x =(2c tan x )/(1- tan^(2) x) " then " ((a^(2)-b^(2))^(2))/(a^2+b^(2))= `

If asin x=b cos x=(2c tan x)/(1-tan^(2)x) then ((a^(2)-b^(2))^(2))/(a^(2)+b^(2))= (A) c^(2) (B) 2c^(2) (C) 3c^(2) (D) 4c^(2)

If sinx + siny =a and cos x +cos y =b , show that sin(x+y) = 2ab/(a^(2)+b^(2)) and tan (x-y)/2 = sqrt((4-a^(2) -b^(2))/(a^(2) +b^(2))

If a sin^(2)x+b cos^(2)x=c,b sin^(2)y+a cos^(2)y=d and a tan x=b tan y then (a^(2))/(b^(2))=......*(0

If tan x=(a)/(b) then show that (a sin x-b cos x)/(a sin x+b cos x)=(a^(2)-b^(2))/(a^(2)+b^(2))

If x=a sin theta and y=b tan theta, then prove that (a^(2))/(x^(2))-(b^(2))/(y^(2))=1

If sin A=a cos B and cos A=b sin B then (a^(2)-1)tan^(2)A+(1-b^(2))tan^(2)B is equal to

If cos ((x) / (2)) cos ((x) / (2 ^ (2))) cos ((x) / (2 ^ (3))) ...... oo = (sin x ) / (x) (1) / (2) tan ((x) / (2)) + (1) / (2 ^ (2)) tan ((x) / (2 ^ (2))) + ( 1) / (2 ^ (3)) tan ((x) / (2 ^ (3))) ... oo

If (x)/(a)-(y)/(b) tan theta =1 and (x)/(a) tan theta +(y)/(b)=1 , then the value of (x^(2))/(a^(2))+(y^(2))/(b^(2)) is

If a cos x-b sin x=c show that a sin x+b cos x=sqrt(a^(2)+b^(2)+c^(2))