If \({\rm{f}}\left( {\rm{x}} \right) = \left[ {\begin{array}{*{20}{c}} {\cos {\rm{x}}}&{ - \sin {\rm{x}}}&0\\ {\sin {\rm{x}}}&{\cos {\rm{x}}}&0\\ 0&0&1 \end{array}} \right]\), then which of the following are correct?1. f(θ) × f(ϕ) = f(θ + ϕ)2. The value of the determinant of the matrix f(θ) × f(ϕ) is 13. The determinant of f(x) is an even function.Select the correct answer using the code given below:

If \({\rm{f}}\left( {\rm{x}} \right) = \left[ {\begin{array}{*{20}{c}}

1.	If \({\rm{f}}\left( {\rm{x}} \right) = \left[ {\begin{array}{*{20}{c}} {\cos {\rm{x}}}&{ - \sin {\rm{x}}}&0\\ {\sin {\rm{x}}}&{\cos {\rm{x}}}&0\\ 0&0&1 \end{array}} \right]\), then which of the following are correct?1. f(θ) × f(ϕ) = f(θ + ϕ)2. The value of the determinant of the matrix f(θ) × f(ϕ) is 13. The determinant of f(x) is an even function.Select the correct answer using the code given below:
A.	1 and 2 only
B.	2 and 3 only
C.	1 and 3 only
D.	1, 2 and 3
Answer» E.