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Prove that cos^(2)+x+cos^(2) (x+pi/3)+co...

Prove that `cos^(2)+x+cos^(2) (x+pi/3)+cos^(2)(x-pi/3)=3/2` and hence find the values of `sin^(2)x +sin^(2) (x+pi/3)+sin^(2) (x-pi/3)`

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