1-2sinacosa=1/25
24/25=2sinacosa,sin2a=24/25>0
据题意,0π/2<2a<2π/3,π/40,cosa>0,sina+cosa>0
1+2sinacosa=(sina+cosa)^2=49/25
sina+cosa=7/5
50tana=24+24tan^2a
12tan^2a-25tana+12=0
tana=4/3,cos^2a=1/(1+16/9)=9/25,cosa=3/5
1、sin^2a-cos^2a
=(sina-cosa)(sina+cosa)
=(-1/5)*(7/5)=-7/25
2、
tana+cosa=4/3+3/5=(20+9)/15
=29/15
3、
tana=4/3