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

1. even

2. odd

Explanation:

Answer 2

1. even
2. odd

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