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## Homework Statement

Hey guys. So I have this homework exercise where I have to convert the following periodic function in radians into a periodic function in time.

f(θ) = (80/∏

^{2}) θ, -∏/2 ≤ θ ≤ ∏/2

(80/∏) - (80/∏

^{2}) θ, ∏/2 ≤ θ ≤ 3∏/2

## Homework Equations

θ = ω

_{0}t

ω

_{0}= 2∏/T

## The Attempt at a Solution

After substituting the relevant equations into the original equation and using a bit of logic regarding the periods and time intervals, I got the following function:

(160t)/(∏ * T) , -T/4 ≤ t ≤ T/4

(80T -160)/(∏ * T) t, T/4 ≤ t ≤ 3T/4

However, I don't know if this is the correct input. I would appreciate it if anyone could tell me if my calculations are correct.

Thank you all very much.