If `sin^-1[1/sqrt[10]]+sin^-1[2/sqrt[85]]+sin^-1[4/sqrt[1105]]+.....oo=alpha`, then find the value of `tanalpha`

If sin h^(-1) ( sqrt8) + sin h^(-1) ( sqrt24) = alpha , then sin h = alpha

If cot^(-1)(sqrt(cos1))-tan^(-1)(sqrt(cos1))=alpha then the value of sin alpha is -

If cos^(-1)sqrt(cos alpha)-sin^(-1)sqrt(cos alpha)=x, then the value of sin x is

If 2 sin A= sqrt(1+ sin 2A)- sqrt(1-sin2A) then find the limits of values of A.

The value of alpha such that sin^(-1)2/(sqrt(5)),sin^(-1)3/(sqrt(10)),sin^(-1)alpha are the angles of a triangle is

The value of alpha such that sin^(-1)(2/sqrt(5)),sin^(-1)(3/sqrt(10)),sin^(-1)alpha are the angles of a triangle is

The value of alpha such that sin^(-1)(2/(sqrt(5))),sin^(-1)(3/(sqrt(10))),sin^(-1)alpha are the angles of a triangle is

The value of alpha so that sin^(-1)((2)/(sqrt(5))) , sin^(-1)((3)/(sqrt(10))) and sin^(-1)alpha are the angles of a Delta is