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

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

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

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

Simplify: tan^(-1)[(2cosx-3sinx)/(3cosx+2sinx)],2/3tanx> -1

Solve tan^(-1)""[(a cos x -b sinx)/(b cosx+a sinx)] , if ""(a)/(b)tanx le-1

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

Solve: tan^(-1)((cosx-sinx)/(cosx+sinx))

Differentiate the following functions with respect to x : tan^(-1)((a+x)/(1-a x)) (ii) tan^(-1)((a cosx-b sinx)/(b cosx+a sinx))

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