已知cos2a=1/3
∵cos2a=2cos^2a-1=1-2sin^2a
∴cos^2a=2/3,sin^2a=1/3
sin^4a+cos^4a
=(sin^2a+cos^2a)^2-2sin^2a*cos^2a
=1-2*(1/3)*(2/3)
=5/9
已知cos2a=1/3
∵cos2a=2cos^2a-1=1-2sin^2a
∴cos^2a=2/3,sin^2a=1/3
sin^4a+cos^4a
=(sin^2a+cos^2a)^2-2sin^2a*cos^2a
=1-2*(1/3)*(2/3)
=5/9