cos^4a+sin^2a+cos^2a*sin^2a=1
cos^4a+sin^2a+cos^2a*(1-cos^2a) = cos^2a + sin^2a
cos^4a + sin^2a - sin^2a + cos^2a - cos^4a = cos^2a
cos^2a = cos^2a
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cos^4a+sin^2a+cos^2a*sin^2a=1
cos^4a+sin^2a+cos^2a*(1-cos^2a) = cos^2a + sin^2a
cos^4a + sin^2a - sin^2a + cos^2a - cos^4a = cos^2a
cos^2a = cos^2a