[" The value of "sin[(1)/(2)cos^(-1)((4)/(5))]=],[[" (a) "(-1)/(sqrt(10))," (b) "(1)/(sqrt(10))," (c) "(-1)/(10)]]

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

The value of sin(pi/3-sin^(-1)(4/5)) is (a) (3sqrt(3)-4)/(10) (b) (3sqrt(3)+4)/(10) (c) (4sqrt(3)-3)/(10) (d) (4sqrt(3)+1)/(10)

The value of sin(pi/3-sin^(-1)(4/5)) is (a) (3sqrt(3)-4)/(10) (b) (3sqrt(3)+4)/(10) (c) (4sqrt(3)-3)/(10) (d) (4sqrt(3)+1)/(10)

sin^(-1)(1/sqrt5)+cos^(-1)(3/sqrt(10))

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

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 expression tan^(-1)((sqrt(2))/(2))+sin^(-1)((sqrt(5))/(5))-cos^(-1)((sqrt(10))/(10))

The value of cos^(-1)[cot(sin^(-1)(sqrt((2-sqrt(3))/(4)))+cos^(-1)((sqrt(12))/(4))+sec^(-1)sqrt(2))

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

If cosx=-(4)/(5) , where x in[0,pi] , then the value of cos((x)/(2)) is equal to a) (1)/(10) b) (2)/(5) c) (1)/(sqrt(10)) d) -(2)/(5)