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Question

Prove that
cos2α+cos2β+cos2α+1=0

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Solution

cos2xα+cos2β+cos2γ+1=0asweknowcos2A=2cos2A1cos2α+cos2β+cos2γ=1now,LHScos2α+ci=cos2β+cos2γ+12cos2α1+2cos2β1+2cos2γ1+12(cos2α+cos2β+cos2γ)3+12×12220henceproved.

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