cos square teta+cos square (2π\3+ teta)+cos square ( 2π\3- teta)= 3\2
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We can use the sum and difference formulas for cosine to expand.
(cosα)2+(cos(2π3)cosα−sin(2π3)sinα)2+(cos(2π3)cosα+sin(2π3)sinα)2=32
(cosα)2+(−12cosα−(√32sinα))2+(−12cosα+√32sinα)2=32
(cosα)2+14cos2α+34sin2α+√34cosαsinα+14cos2α+
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