I am asked to find whether the functions are odd, even, neither and their period, if they have one, of the following functions:

f(x) = sin(x) + cos(x) and f(x) = sin(x)cos(x).

I know that even if f(x) = f(-x) and odd if f(-x) = -f(x) but all those fuzzy functions come up like for f(x) = sin(x) + cos(x)

f(-x) = sin(-x) + cos(-x), how am I suppose to know if f(-x) is the same as f(x) without putting in random values of x?

Help please, thanks.

f(x) = sin(x) + cos(x) and f(x) = sin(x)cos(x).

I know that even if f(x) = f(-x) and odd if f(-x) = -f(x) but all those fuzzy functions come up like for f(x) = sin(x) + cos(x)

f(-x) = sin(-x) + cos(-x), how am I suppose to know if f(-x) is the same as f(x) without putting in random values of x?

Help please, thanks.

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