sin^4a+cos^4a=5/9
(sin²a+cos²a)²-2sin²acos²a=5/9
1-2sin²acos²a=5/9
-2sin²acos²a=-4/9
4sin²acos²a=8/9
(2sinacosa)²=8/9
sin²2a=8/9
sin2a=±2√2/3
sin^4a+cos^4a=5/9
(sin²a+cos²a)²-2sin²acos²a=5/9
1-2sin²acos²a=5/9
-2sin²acos²a=-4/9
4sin²acos²a=8/9
(2sinacosa)²=8/9
sin²2a=8/9
sin2a=±2√2/3