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

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

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

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

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

Express in the simplest form tan^(-1)((cos x-sin x)/(cos x+sin x))

convert in the simplest form: tan^(-1)(sqrt((1-cos x)/(1+cos x))),x

Find the simplest form of tan^(-1)(sqrt((1-sin x)/(1+sin x))),0 lt x lt pi

Write the simplest form : tan^(-1)( (sqrt(1+x)-sqrt(1-x))/(sqrt(1+x) + sqrt(1-x))); (-1)/sqrt(2) le x le 1

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

Write the simplest form : cot^(-1) [(sqrt(1+sinx)+sqrt(1-sin x))/(sqrt(1+sinx)-sqrt(1-sin x)]], x epsilon [0, pi/4]