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veganazi
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Homework Statement
Establish the identity: 1+cos(2θ)+cos(4θ)+cos(6θ)=4cosθcos(2θ)cos(3θ)
Homework Equations
cos(a)+cos(b)=2cos((a+b)/2)cos((a-b)/2)
The Attempt at a Solution
I understand how to do a simple cos(+/-)cos problem according to the Sums as Products equations, but I am confused on how to handle adding 3 cosine functions plus 1.
EDIT: cos(0)=1, so I split the problem into 2 additions problems, cos(0θ)+cos(2θ) and cos(4θ)+cos(6θ).
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