Simplify `tan^(-1)[(acosx-bsinx)/(bcosx+asinx)],` if `a/btanx >-1` .

Simplify: tan^(-1)[(acosx-bsinx)/(b cosx+a sinx)]

Simplify tan^(-1)[(acosx-bsinx)/(bcosx+asinx)] , if a/btanxgt-1 .

Simplify tan^(-1)[(acosx-bsinx)/(bcosx+asinx)], if a/btanx > -1 .

Simplify tan^-1[(acosx-bsinx)/(bcosx+asinx)] if a/b tanx>-1

Write the simplest form of tan^(-1)[(acosx-bsinx)/(bcosx + asinx)] , if a/b tanx gt -1.

tan^(-1)((a+bcosx)/(b-acosx))

Simplify: tan^-1[frac{acosx-bsinx}{bcosx+asinx}] if frac{a}{b} tanx gt -1

y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)),w h e r e-pi/2 -1

Differentiate the following functions with respect to x : (i) tan^(-1)((a+x)/(1-a x)) (ii) tan^(-1)((acosx-bsinx)/(bcosx+asinx)), -pi/2 -1