Fourier Transform and Modulation

[jegues]

Homework Statement

See figure attached.

Homework Equations

The Attempt at a Solution

See pdf attached for my attempt at the solution.

I'm a little confused as to how to draw the phase spectrum for y(t). Would it simply be a line equation of,

$$-\frac{\pi}{6000}f \pm \frac{\pi}{2}$$

for each given triangle?(the +/- is selected accordingly of course)

Aside from that, are there any other mistakes?

Cheers!

 

[rude man]

Since no one else has responded:

how did you obtain the phase spectrum of x(t)? If I knew that maybe we could figure out how to get that of y(t).

What you wrote looks very good.