`sinxgeq-1/2`

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

sqrt(1-(1)/(1^(2))+(1)/(2^(2)))-sqrt(1+(1)/(2^(2))+(1)/(3^(2)))-sqrt(1-(1)/(2007^(2))+(1)/(2008^(2)))

If 1/1^2+1/2^2+1/3^2+.... upto infty=pi^2/6 , then, find 1-1/2^2+1/3^2-1/4^2+....upt o infty .

Simplify: 1/2+[1/2xx1/2-:{1/2xx1/2-:1/2+(1/2-:1/2)}]

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

tan[1/2"Sin"^(-1)(2a)/(1+a^(2))+1/2"Cos"^(-1)(1-a^(2))/(1+a^(2))]=

The sum to n terms of series 1+(1+1/2+1/(2^2))+(1+1/2+1/(2^2)+1/(2^3))+ is

The sum to n terms of series 1+(1+1/2+1/(2^2))+(1+1/2+1/(2^2)+1/(2^3))+ is