" (12) "tan^(-1)((x)/(sqrt(1+cos x))),0

Solve : tan^(-1)(sqrt((1-cos x)/(1+cos x))), x lt pi

(v) tan^(-1)sqrt((1+cos x)/(1-cos x))

Write tan^(-1) (sqrt(1-cos x)/(1+cos x)), 0 lt x lt pi in the simplest form.

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

prove that tan^(-1)((cos x)/(1-sin x))-cot^(-1)((sqrt(1+cos x))/(sqrt(1-cos x)))=(pi)/(4),x varepsilon(0,(pi)/(2))

tan ^(-1)(cos sqrt(x))

tan ^(-1)(cos sqrt(x))

Prove that: (i)tan^(-1){(sqrt(1+cos x)+sqrt(1-cos x))/(sqrt(1+cos x)-sqrt(1-cos x))}=(pi)/(4)+(x)/(2)

Write the following functions in the simplest form : tan^(-1) sqrt((1-cos x)/(1+cos x)), 0 lt x lt pi