Let `S = sqrt(2) - sin sqrt(3)` and `C = cossqrt(2) - cossqrt(3)` then which one of the following is correct ?

If A=sqrt(sin2-sin sqrt(3)), B=sqrt(cos2-cos sqrt(3)) , then which of the following statement is true ?

If A=sqrt(sin2-sin sqrt(3)), B=sqrt(cos2-cos sqrt(3)) , then which of the following statement is true ?

In triangle ABC, let b=10,c=10sqrt(2) and R=5sqrt(2) then which of the following are correct

In triangle ABC, let b = 10, c = 10 sqrt(2) and R = 5 sqrt(2) then which of the following are correct

Let f(x)=sqrt((cos^(-1)sqrt(1-x^(2))-sin^(-1)x)) then which of the following statement/s is are correct -

[" 64.Let "A=[[0,-sqrt((2)/(3)),(1)/(sqrt(3))],[(1)/(sqrt(2)),-(1)/(sqrt(6)),-(1)/(sqrt(3))],[(1)/(sqrt(2)),(1)/(sqrt(6)),(1)/(sqrt(3))]]" ,then which one of "],[" the following is correct? "],[" (1) "A" is an involutory matrix "],[" (2) "A" is an idempotent matrix "],[" (3) "A" is an orthogonal matrix "],[" (4) "A" is a singular matrix "]

Let alpha = 3 cos^(-1) (5/sqrt28) + 3 tan^(-1) ( sqrt3/2) " and " beta = 4 sin ^(-1) ((7sqrt2)/10) - 4 tan^(-1) (3/4) , then which of the following does not hold (s) good ?

Let f(x)=x^(2)-2sqrt((sinsqrt(3)-sinsqrt(2)))x-(cossqrt(3)-cos sqrt(2))