`cot(sin^(- 1)1/(sqrt(5))+sin^(- 4)2/(sqrt(5)))`

If alpha=sin(sin^(-1)( 1/sqrt3)/(3)),beta=cos(cos^(-1)((1)/(sqrt(5)))-sin^(-1)((2)/(sqrt(5)))) then (beta^(2))/((3 alpha-4a^(3))^(2)) is

cot (sin ^(-1)""(1)/(sqrt(5))+sin ^(-1)""(2)/(sqrt(5)))

Prove that: i) sin^(-1)(1/sqrt(5))+sin^(-1)(2/sqrt(5))=pi/2

sin^(-1)((1)/(sqrt(5)))+sin^(-1)((1)/(sqrt(10)))=(pi)/(4)

Statement 1: If x=(1)/(5 sqrt(2)) , then [x cos(cot^(-1)x)+sin(cot^(-1)x)]^(2)=(51)/(50) . Statement 2: tan["cot"^(-1)(1)/(5sqrt(2))-"sin"^(-1)(4)/(sqrt(17))]=(29)/(3) .

Statement 1: If x=(1)/(5 sqrt(2)) , then [x cos(cot^(-1)x)+sin(cot^(-1)x)]^(2)=(51)/(50) . Statement 2: tan["cot"^(-1)(1)/(5sqrt(2))-"sin"^(-1)(4)/(sqrt(17))]=(29)/(3) .

sin ^(-1) (1)/(sqrt(5))+cot ^(-1) 3=

sin{2(sin^(-1)(sqrt(5))/(3)-cos^(-1)(sqrt(5))/(3))}quad is equal to (k sqrt(5))/(81) then k=

The value of sin^(-1)(cot(sin^(-1)((2-sqrt(3))/(4)+(cos^(-1)(sqrt(12)))/(4)+sec^(-1)sqrt(2))))(a)0( b) (pi)/(2)( c) (pi)/(3)( d) none of these

The value of sin^(-1){cot(sin^(-1)(sqrt((2-sqrt3)/4)+cos^(-1)(sqrt(12)/4)+sec^(-1)sqrt2)} is