Prove that: `tan^(-1){pi/4+1/2\ cos^(-1)a/b}+tan{pi/4-1/2\ cos^(-1)a/b}=(2b)/a`

Prove that tan[pi/4+1/2cos^(-1)""a/b]+tan[pi/4-1/2cos^(-1)""a/b]=2b/a

Prove that tan(pi/4 +1/2 cos^(-1) (a/b)) + tan^(-1) (pi/4 -1/2 cos^(-1) (a/b)) =2b/a

Prove that : tan^(-1) [2 cos(2sin^(-1)(1/2))] = pi/4

Prove that tan((pi)/(4)+(1)/(2)cos^(-1)((a)/(b)))+tan((pi)/(4)-(1)/(2)cos^(-1)((a)/(b)))=(2b)/(a)

Prove that : tan^(-1)2+tan^(-1)3=(3pi)/4