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## Homework Statement

If the input voltage is given by Vin = Vin peak cos ωt, then the output voltage is

Vout = VH*cos(ωt - δ) where VH = Vin peak/(1 + (ωRC)^(−2)) (Assume that the output is connected to a load that draws only an insignificant amount of current.)

Find an expression for the phase constant δ in terms of ω, R and C.

## Homework Equations

## The Attempt at a Solution

My teacher specifically told us to solve this problem without using phasors, but the only examples in the book of how to solve this kind of problem use phasors. I know that the answer is arctan(-1/(ωRC)), but I have no idea how to derive that!