Evaluate trig functions at infinity?

[AStaunton]

is it meaningful to evaluate cos and sin at infinity? I ask in relation to Fourier integrals...

ie does cos(infinity) have a value

 

[cragar]

The improper integral of sin(x) or cos(x) from zero to inf does not converge or diverge
so you can't evaluate it.

 

[gb7nash]

ie does cos(infinity) have a value

You tell me. What does the graph of cosine look like? Is cos(x) going to approach a certain number as x approaches infinity?