" If "-1<=x,y<=1" such that "sin^(-1)x+sin^(-1)y=(pi)/(2)," find the value of "cos^(-1)x+cos^(-1)y

The value of (1-1/2)(1-1/3)(1-1/4)(1-1/5)…(1-1/n) is :

The rank of [(1,-1,1),(1,1,-1),(-1,1,1)] is

The rank of [(1,1,1),(-1,1,1),(1,1,1)] is

Show that 1+(1)/(a)+(1)/(b)+(1)/(c ) is a factor of |(1+a, 1, 1),(1, 1+b, 1),(1,1,1+c)| .

Show that Determinant of [[1+a,1,1],[1,1+b,1],[1,1,1+c]] = abc (1+1/a+1/b+1/c)

If A^(-1)=([2,1],[1,1]) ,then A is equal to: (A) ([2,-1],[-1,1]) (B) ([-2,1],[-1,-1]) (C) ([1,-1],[-1,2]) (D) ([-2,1],[1,1])

The simplest value of ((1+(1)/(2))(1+(1)/(3))(1+(1)/(4))....(1+(1)/(50)))/((1-(1)/(2))(1-(1)/(3))(1-(1)/(4)).....(1-(1)/(50))) is

The maximum value of |(1,1,1),(1,1+sintheta,1),(1,1,1+costheta)| is 1/2

The value of (1 - 1/2) (1 - 1/3) (1 - 1/4)(1 - 1/5) ………(1 - 1/n) is :