Lots of pooints
answers to both are either

an even
an odd
neither

Odd, Even.

Step-by-step explanation:

A function is even if  f(x) = f(-x) and is symmetrical about the y axis.

A function is odd if f(-x) = - f(x) and is symmetric with respect to the origin.

sin^3x / cos ^3 x

= tan^3 x.

f(x) = tan^3 (x)

f(-x) = tan^3(-x) = - tan^3 x.

So here,  -f(x) = f(-x) so the function is ODD.

f(x) = 1 / sec^3 x

f(x) = cos^3 x

f(-x) = cos^3 (-x)  = cos^3 x

This is an even function.

If you have a graphical calculator you'll see that the first function is symmetrical about the origin and the second is symmetrical about the y-axis.