If and are the even functions.

From the definitions and .

Find the product .

.

and are the even functions, then the product is a even function.

If and are the odd functions.

From the definitions and .

Find the product .

.

and are the odd functions, then the product is a even function.

If is a even functions and is a odd function.

From the definitions and .

Find the product .

.

is a even functions and is a odd function., then the product is a odd function.

If and are the even or odd functions, then the product is a even function.

If one of the function is even and other is odd, then the product is a odd function.