" (ii) "sin^(-1)(1)/(sqrt(5))+sin^(-1)(2)/(sqrt(5))=(pi)/(2)

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

cos^(-1)""(2)/(sqrt(5))+sin ^(-1)""(1)/(sqrt(10))=(pi)/(4)

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

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

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

Prove that : 4(sin^(-1)(1/sqrt(10)) + cos^(-1)( 2/sqrt(5)))=pi

Prove that : 4(sin^(-1)(1/sqrt(10)) + cos^(-1)( 2/sqrt(5)))=pi

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

sin ^(-1)sqrt(3)x+sin ^(-1)x=(pi)/(2)

Show that sin^(-1)(1/sqrt(10))+cos^(-1)(2/sqrt5)=pi/4 .