Write the `tan^-1 (frac{cos x - sin x}{cos x + sin x)), x < pi`. in the simplest form.

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 tan^-1 (frac{cos x}{1+sin x}), -frac{pi}{2} < x < frac {pi}{2} in the simplest form.

Simplifty : tan^-1[(a cos x - b sin x)/(b cos x + a sinx)] if a/b tan x > -1

Differentiate the following w.r.t.x. tan^(-1)((cos x - sin x)/(cos x + sin x))

Write tan^-1( sqrt (frac {1-cos x}{1+cos x})) , x < pi in the simplest form.

Solve the following integration int (cos x - sin x)/(cos x + sin x)*(2+2 sin 2x)dx

Differentiate the following w.r.t x : x^cos x + (sin x)^tan x

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