sqrt(0sin^(-1)(-(1)/(2)))

Find the principal value of each of the following :(i)(sin^(-1)1)/(2)-2(sin^(-1)1)/(sqrt(2))( ii) sin^(-1){cos(sin^(-1)(sqrt((3)/(2)))}^(sqrt(2))

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

If f(A)=(sqrt(1+sin((A)/(2)))+sqrt(1-sin((A)/(2))))/(sqrt(1+sin((A)/(2)))-sqrt(1-sin((A)/(2))))

int_(0)^( Prove that )sqrt(1+sec x)dx=sin^(-1)(sqrt(2)sin((x)/(2)))

sin^(2)(cos^(-1)x)+cos^(2)(sin^(-1)(sqrt(1-x^(2)))) = ________ (0ltxlt1)

If sin^(-1)x_(i)in[0,1]AA i=1,2,3,....28 then find the maximum value of sqrt(sin^(-1)x_(1))sqrt(cos^(-1)x_(2))+sqrt(sin^(-1)x_(2))sqrt(sin^(-1)x_(3))+sqrt(sin^(-1)x_(3))sqrt(cos^(-1)x_(4))+...+sqrt(sin^(-1)x_(28))sqrt(cos^(-1)x_(1))

The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)/(sqrt(6)))+....sin^(-1)((sqrt(n)-sqrt(n-1))/(sqrt(n(n+1))))

The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)/(sqrt(6)))+....sin^(-1)((sqrt(n)-sqrt(n-1))/(sqrt(n(n+1))))

The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)/(sqrt(6)))+....sin^(-1)((sqrt(n)-sqrt(n-1))/(sqrt(n(n+1))))

Find the sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)/(sqrt(6)))+....sin^(-1)((sqrt(n)-sqrt(n-1))/(sqrt(n(n+1))))