If `alpha=2tan^(- 1)(sqrt(3-2sqrt(2)))+sin^(- 1)(1/(sqrt(6)-sqrt(2))),beta=cot^-1(sqrt3-2)+1/8sec^-1(-2)` and `gamma =tan^-1 (1/sqrt2)+cos^-1 (1/sqrt3)`, then

quad Ifalpha=2tan^(-1)(sqrt(3-2sqrt(2)))+sin^(-1)((1)/(sqrt(6)-sqrt(2))),beta=cot^(-1)(sqrt(3)-2)+(1)/(8)sec^(-1)(-2) and gamma=tan^(-1)((1)/(sqrt(2)))+cos^(-1)((1)/(sqrt(3))), then

If a=sin^(-1) (-sqrt2/2)+cos^(-1) (-1/2) and b=tan^(-1) (-sqrt3)-cot^(-1) (-1/sqrt3) , then

(tan^(- 1)(sqrt(3))-sec^(- 1)(-2))/(cosec^(- 1)(-sqrt(2))+cos^(- 1)(-1/2)) =

If alpha = sin^(-1)(sqrt(3)/2)+sin^(-1)(1/3) , beta =cos ^(-1)(sqrt(3)/2)+cos^(-1)(1/3) then

If alpha = sin^(-1)(sqrt(3)/2)+sin^(-1)(1/3) , beta =cos ^(-1)(sqrt(3)/2)+cos^(-1)(1/3) then

sin^(-1)((sqrt(3))/2)-tan^(-1)(-sqrt(3))=

a=sin^(-1)(-(sqrt(2))/(2))+cos^(-1)(-(1)/(2)) and b=tan^(-1)(-sqrt(3))-cot^(-1)(-(1)/(sqrt(3))) ,then

sin^(-1)((sqrt(3))/(2))-tan^(-1)(-sqrt(3))