How do you test trigonometric functions for Symmetry? Do you have two examples to show me? Thanks

The cosine is known as an even function, and the sine is known as an odd function. Generally speaking, f(x) is an even function if f(-x) =f(x) and odd if f(-x) = -f(x) The cosine and sine functions satisfy the following properties of symmetry: cos(-θ) = cos(θ) => symmetry about y-axis sin(-θ) = -sin(θ) => symmetry about origin also tan(−θ)=−tan(θ)=> symmetry about origin cot(−θ)=−cot(θ)=> symmetry about origin csc(−θ)=−csc(θ)=> symmetry about y-axis sec(−θ)=sec(θ)=> symmetry about y-axis .