(1+(1)/(sqrt(12))

sin ^(-1)[cot ((sin ^(-1) sqrt((2-sqrt(3))/(4)))+cos ^(-1) (sqrt(12))/(4)+sec ^(-1) sqrt(2))]

The sum of the infinite series "sin"^(-1)((1)/(sqrt2))+"sin"^(-1)((sqrt2-1)/(sqrt6))+"sin"^(-1)((sqrt3-sqrt2)/(sqrt12))+…+…+"sin"^(-1)((sqrtn-sqrt((n-1)))/(sqrt(n(n+1))))+… is

(cos pi) / (12) - (sin pi) / (12) = (1) / (sqrt (2))

Prove that :cos((pi)/(12))-sin((pi)/(12))=(1)/(sqrt(2))

(1)/(sqrt(12)-sqrt(140))+(1)/(sqrt(8-sqrt(60)))=

1.Find the value of (112)/(sqrt(196))times(sqrt(576))/(12) (1) 8, (2) 12, (3) 16,

The value of cos^(-1)[cot(sin^(-1)(sqrt((2-sqrt(3))/(4)))+cos^(-1)((sqrt(12))/(4))+sec^(-1)sqrt(2))

sin^(-1){cot(sin^(-1)(sqrt((2-sqrt(3))/(4))+cos^(-1)((sqrt(12))/(4))+sec^(-1)sqrt(2))}