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]] Find f(-x)

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

Select and write the correct answer from the given alternatives in each of the following:If f(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]] then f(x+y) is equal to

If F(x)=[cosx-sinx0sinxcosx0 0 0 1] , show that 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(alpha)f(beta)=f(alpha+beta) .

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

F(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]] and G(x)=[[cosx,0,sinx],[0,1,0],[-sinx,0,cosx]], then [F(x)G(y)]^(-1) is equal to (A) F(-x)G(-y) (B) F(x-1)G(y-1) (C) G(-y)F(-x) (D) G(y^(-1))F(x^(-1))