If f(x) = `[(cos x , - sinx,0),(sinx,cosx,0),(0,0,1)]` then show f(x) . f(y) = f(x+y)

If f(x)=[{:(cosx,-sinx,0),(sinx,cosx,0),(0,0,1):}] , then show that f(x)*f(y)=f(x+y) .

If F(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] , show that F(x) F(y)=F(x+y) .

If F(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] , show that F(x) F(y)=F(x+y) .

If F(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] , show that F(x) F(y)=F(x+y) .

Let f(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)], then (A) (f(x))^2=-I (B) f(x+y)=f(x),f(y) (C) f(x)^-1=f(-x) (D) f(x)^-1=f(x)

If F(x) =[(cos x, -sin x,0),(sin x,cos x,0),(0,0,1)] show that F(x)F(y)=F(x+y)

If F(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] , show that F(x)*F(y)=F(x+y)

If F(x)=[{:(cosx,-sinx,0),(sinx,cosx,0),(0,0,1):}] ,show that F(x)F(y)=F(x+y) .

If F(x)=[{:(cosx,-sinx,0),(six,cosx,0),(0,0,1):}] , show that F(x).F(y)=F(x+y).

If A=f(x)=[(cosx, sinx, 0),(-sinx, cosx,0),(0,0,1)], then the value of A^-1= (A) f(x) (B) -f(x) (C) f(-x) (D) -f(-x)