Remember that a ring modulator takes two signals (the higher-frequency signal is usually called the carrier, and the slower one is called the...

Remember that a ring modulator takes two signals (the higher-frequency signal is usually

called the carrier, and the slower one is called the modulator ) and multiplies them together.

Briefly explain why, if a 500 Hz (sine wave) carrier and a 10 Hz (sine wave) modulator are combined

(multiplied) by a ring modulator, the result is the same as if two (other) sine waves are added together.

What are the frequencies of these other sine waves?