Question

The function y=x/tan x is (an even, an odd, neither an even nor an odd) function, and the function y=sec x/x is (an even, an odd, neither an even nor an odd) function.

Answer 1

Answer:

1. even
2. odd

Step-by-step explanation:

You know that x is an odd function, tan(x) is an odd function, and sec(x) is an even function.

The ratio of two odd functions will be an even function, so ...

  x/tan(x) is even

The ratio of an odd and an even function will be odd, so ...

  sec(x)/x is odd