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## Homework Statement

1. A signal of the form x(t) = A cos(ω0t + φ) is plotted below. From the plot, deduce the following:

(a) the amplitude A, (b) the period T0, (c) the radian frequency ω0, and (d) the phase φ in radians. For part (e), find f0 in Hz by converting the radian frequency from part (c). For part (f), convert the phase from part (d) to degrees.

## Homework Equations

## The Attempt at a Solution

a) Amplitude = 6 (inspection)

b) Period = (218.75ms + (-31.25ms)) = 250ms

c) ω=2π/T = 2π / 0.250s = 8π rad/sec

d) dφ=2π/dt = -8π/125

e) frequency = ω/2π = 8π/2π = 4Hz

f) deg = 180 φ/2π = 5.76 deg

y(t) = 6cos(8πt - 8π/125)

So i am not sure on my calculation for the phase shift.