cos(a cos x+b sin x)

Show that (a sin x + b cos x)/(a cos x - b sin x) increases with x.

If sin(sin x + cos x) = cos (cos x - sin x) then the largest possible value of sin x is

Differentiate (a cos x+b sin x+c)/(sin x)+x^(n)cos x

If y = tan^(-1) ((a cos x - b sin x)/(b cos x + a sin x)) " then " (dy)/(dx) = ?

If y= tan ^(-1) ((a cos x- b sin x )/(b cos x + a sin x ) ) , then (dy)/(dx) is :

A: (d)/(dx ) {Tan ^(-1) ((a cos x + b sin x)/(b cos x - a sin x))=1 R: (d)/(dx) {Tan ^(-1) ((a cos f (x) +b sin f (x))/(b cos f (x) -a sin f (x)))}=f'(x)

If sin(sin x+cos x)=cos(cos x-sin x) then the largest possible value of sin x, is