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azolotor
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Homework Statement
Find the resultant of the superpostion of two harmonic waves in the form
E=Ecos(α-ωt)
with amplitudes of 3 and 4 and phases of π/6 and π/2 respectively. Both waves have a period of 1s.
Homework Equations
ω=2πf = 2π/t
The Attempt at a Solution
I first plugged everything in so you get:
E=3cos(π/6-2πt)
E=4cos(π/2-2πt)
then I used the formula
tanα = [3sin(π/6-2πt) + 4sin(π/2-2πt)]/[3cos(π/6-2πt) + 4cos(π/2-2πt)] to get the angle. I am unsure of what to do. I understand the formula in the book conceptually for adding the two waves of different phases but I am unsure of how to use it. Thanks in advance