[" - "8tan x=15],[" find "sin x-cos x]

If 8tan A=15, find sin A-cos A

If 8tan x=15, then sin x-cos x is equal to (8)/(17)( b) (17)/(7)( c) (1)/(17) (d) (7)/(17)

If 8cos x+15sin x=15 and cos x!=0 then 8sin x-15cos x=y(i)8(ii)-8(iii)15(iv)-15

Prove that: (i) (1+"sin" 2theta-cos 2theta)/(1+"sin" 2theta+cos 2theta)="tan" theta . (ii) 2 tan 2x=(cos x+"sin" x)/(cos x-"sin" x)-(cos x-"sin" x)/(cos x+"sin" x) .

Find the derivatives of the following : tan^(-1) ((cos x + sin x)/(cos x - sin x))

Find the value of tan^(-1) ((cos x - sin x)/(cos x + sin x))

Find the derivative of the w.r.to x. x ^(tan x ) + (sin x ) ^( cos x)

Find the values of sin(x/2),cos(x/2) and tan(x/2)" if "tan x=(5)/(12) and x lies in the third quadrant.

Show that (sin 8x cos x - sin 6x cos 3x)/(cos 2x cos x - sin 3x sin 4x) = tan 2x