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

tan^(-1) ((1-cos x)/(sin x))

y=tan^(-1)(cos x/(1+sin x))

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

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

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){sqrt((1-cosx)/(1+cosx))},\ -pi

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

Write the simplest form : tan^(-1)(1/sqrt(x^2 -1)) , |x|gt1

tan^-1[(cos x)/(1+sin x)] is equal to

Write the simplest form : cos^(-1)(sqrt(((sqrt(1+x^2) +1)/(2sqrt(1+x^2))))