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## Homework Statement

inputs x1(t) = cos(ω1t), x2(t) = cos(ω2t).

Show that output g(t) (sum of x1 + x2) = 0.5cos[(ω2-ω1)t] + 0.5cos[(ω2+ω1)t]

## Homework Equations

included in upload of attempted solution. Trig identities.

## The Attempt at a Solution

Uploaded in pdf. A lot more has been done on the solution however including it all would have taken forever, problem is I keep circling round and winding up back at the same place I started (due to the nature of the identities). It's been a while since I've did a question like this and understand half the battle is spotting the connection, and will probably be kicking myself if I get it done. Any help would be greatly appreciated.