If f(x) = [cos x -sin x 0; sin x cos x 0; 0 0 1], then which of the following are correct ?

1.R(θ) × f(ϕ) = f(θ + ϕ)

2.The value of the determinant of the matrix f(θ) × f(ϕ) is 1.

3.The determinant of f(x) is an even function.
Select the correct answer using the code given below :

Mathematics 2016 NDA Mathematics 2016 NDA 2016

Options