Simplify `tan^-1 (cosx/(1-sinx))` , for `(-3pi)/2 < x< pi/2'`.

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

Simplify tan^(-1).(cosx/(1-sinx))(-pi)/2 lt x lt pi/2

Write the following functions in the simplest form : tan^-1(cosx)/(1-sinx), - (3pi)/2 < x< pi/2

Write in the following expression in simplest form : tan^(-1)((cosx)/(1-sinx)),(-3pi)/2ltxltpi/2 .

Express each of the following in the simplest form: tan^(-1){(cosx)/(1-sinx)} ,where -pi/2 < x < pi/2 (ii) tan^(-1)((cosx-sinx)/(cosx+sinx)) , -pi/4 < x < pi/4

Express each of the following in the simplest form: tan^(-1){(cosx)/(1-sinx)},\ -pi/2

Simplify: tan^(-1)(sqrt((1+cosx)/(1-cosx))) , 0< x < pi

Write the following functions in the simplest from : tan^(-1)((cosx)/(1-sinx)),-pi/2ltxltpi/2

Express tan^(-1)((cosx)/(1-sinx)),-(3pi)/2ltxltpi/2 in the simplest form.