Write the following function in the simplest form: `tan^(-1)((cosx-sinx)/(cosx+sinx)), x

tan^(-1)((cosx-sinx)/(cosx+sinx))=pi/4-x

Write the following function in the simplest form: tan^-1 sqrt((1-cosx)/(1+cosx))

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

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

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

Differentiate the following functions with respect to x : tan^(-1){(cosx)/(1+sinx)} , 0 < x < pi

Differentiate the following functions with respect to x : tan^(-1){(cosx)/(1+sinx)},0ltxltpi

Differentiate the following functions with respect to x : tan^(-1){(1-cosx)/(sinx)},-piltxltpi

Differentiate the following functions with respect to x : tan^(-1){(1-cosx)/(sinx)},-piltxltpi

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