Question

I am sketching amplitude modulated signal in time domain.

I can sketch it when modulated signal Xc(t) is like (1 + m(t))s(t) where m(t) is a modulating signal and s(t) is a carrier signal.

but when modulated signal has different equation, I don't know how to sketch it.

for example, modulated signal Xc(t) = sin(2pi100000t)sin(2pi1000t).

so I have searched about it and I found someone convert sin(2pi100000t)sin(2pi1000t) form to (1 + m(t))s(t) form.

but now I don't know how to convert sin(2pi100000t)sin(2pi1000t) form to (1 + m(t))s(t) form.

Question 1. Is it possible to convert sin(2pi100000t)sin(2pi1000t) form to (1 + m(t))s(t) form?

Question 2. If so, how to convert it? I don't know how because sin(2pi100000t) and sin(2pi1000t) have different frequencies.

Answer 1