Write in the simplest form : `tan^-1 (sin x/(1 + cos x))

Write the following in the simplest form: tan^-1((cos x)/(1-sinx)), - pi/2 < x < pi/2

Express the following functions in the simplest form : tan^-1 (a cosx - b sin x)/(b cos x + a sin x ), - pi/2 -1

Write the following in the simplest form: tan^-1((cos x - sinx)/(cosx + sinx)), x < pi

Write the following functions in the simplest form: tan^-1((sqrt(1-cosx)/(1+cosx)), 0 < x< pi

Express the following functions in the simplest form : tan^-1 (sqrt((1-x)/(1+x))) , - 1 < x le 1

Write the following in the simplest form tan^(-1)((cosx+sinx)/(cosx-sinx))

Write the following function in the simplest form: tan -1 ((cosx - sinx)/(cosx + sinx), -π/4