Question

Is tanx even, odd, or neither and explain why?

Answer 1

A function is even if f(x)=f(-x)

A function is odd if f(x)=-f(x)

Otherwise neither.

Answer 2

Best to remember that only two of the trig functions are even, the rest are odd. cosine is even. And the reciprocal, secant is also even.
What dido posted would be the definition.

Answer 3

Thank you