`tan^(-1) 1 + sin^(-1)(-1/2)`

(1/y^2 \ ((cos(tan^(-1) y) + y sin(tan^(-1) y))/(cot(sin^(-1) y) + tan(sin^(-1) y)) )^2 + y^4)^(1//2) takes value

Prove that tan^(-1) (1/4) + tan^(-1) (2/9) = 1/2 sin^(-1) (4/5)

Evaluate : tan^(-1) (2 cos ( 2 sin^(-1) (1/2)))

tan^(-1)[2cos(2sin^(-1)(1)/(2))]

If x = sin (2tan ^ (- 1) 2), y = sin ((1) / (2) tan ^ (- 1) ((4) / (3))), then -

The expression (1)/(sqrt(2)){(sin tan^(-1)cos tan^(-1)t)/(cos tan^(-1)sin cot^(-1)sqrt(2)t)}*{sqrt((1+2t^(2))/(2+t^(2)))}

Prove: tan^(-1)(1/4)+tan^(-1)(2/9)=sin^(-1)(1/(sqrt(5)))