" 35.If "tan x=(b)/(a)," prove that "a cos2x+b sin2x=a

If tan x = b/a, prove that a cos 2x + b sin 2x=a

If tan x =b/a, then the value of (a cos 2x+ b sin 2x) is equal to-

(i) If "tan""(x)/(2)=(m)/(n) ,prove that m sin x+n cos x=n. (ii) If "tan" theta=(a)/(b) , prove that a sin 2theta+b cos 2theta=b .

If tan x= (2b)/(a-c), a!=c, y = a cos^2 x +2b sin x*cos x + c sin^2x, z = a sin^2 x-2b sin x*cos x + c.cos^2x, then

If tan x=b/a , then the value of a cos 2x+b sin 2x is :

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 quad tan x=(2b)/(a-c),a!=c,y=a cos^(2)x+2b sin x*cos x+c sin^(2)x,z=a sin^(2)x-2b sin x*cos x+c cos^(2)x, then

If tan x=(2b)/(a-c),y=a cos^(2)x+2b sin x cos x+c sin^(2)xz=a sin^(2)x-2b sin x cos x+c cos^(2)x, that y-z=a-c.

Prove that , (sin2x)/(1+cos2x)=tanx