Prove the following: `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(pi/4-1/2 cos^-1(a/b))=(2b)/a

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

Prove the following: 2\ tan^(-1)(3/4)-tan^(-1)((17)/(31))=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 the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)

Prove the following: tan^(-1)1/7+2\ tan^(-1)1/3=pi/4

tan(pi/4+1/2cos^-1x)+tan(pi/4-1/2cos^-1x) , x!=0 is equal to

tan((pi)/(4) +(1)/(2)"cos"^(-1)(a)/(b))+ tan((pi)/(4) - (1)/(2)"cos"^(-1)(a)/(b)) is :

Which of the following is true? (a) pi/3>tan^(-1)pi/3 (b) pi/3 cos^(-1)pi/4'

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