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Cos^4 X - Sin^4 X = 2/3
(Cos^2 X)^2 - (Sin^2 X)^2 = 2/3
(Cos^2 X - Sin^2 X)(Cos^2 X + Sin^2 X) = 2/3
(Cos^2 X - Sin^2 X)(1) = 2/3
(1 - Sin^2 X - Sin^2 X)) = 2/3
1 - 2Sin^2 X = 2/3 ——> Answer
(Cos^2 X)^2 - (Sin^2 X)^2 = 2/3
(Cos^2 X - Sin^2 X)(Cos^2 X + Sin^2 X) = 2/3
(Cos^2 X - Sin^2 X)(1) = 2/3
(1 - Sin^2 X - Sin^2 X)) = 2/3
1 - 2Sin^2 X = 2/3 ——> Answer
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