(" iv ")sin^(-1)((a+b cos x)/(b+a cos x)),b>a

Differentiate sin^(-1)((a+b cos x)/(b+a cos x)),b>a with respect to x:

If y=sin^(-1)((a+b cos x)/(b+a cos x)), prove that (dy)/(dx)=-(sqrt(b^(2)-a^(2)))/(b+a cos x)

If y= tan^(-1)((a cos x-b sin x)/(b cos x+a sin x))" show that, " (dy)/(dx)= -1 .

Simplify tan^(-1)[(a cos x-b sin x)/(b cos x+a sin x)], if (a)/(b)tan x>-1

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)

Simplify tan ^(-1)[(a cos x-b sin x)/(b cos x+a sin x)] if, a/b tan xgt(-1)