(1):(cosx)^2+(sinx)^2=1,x属于(0,π/2),sinx>0,所以,sinx=4/5 .(2)sin (x+π/4)=sinxcosπ/4+cosxsinπ/4=(4/5)(根号2/2)+(3/5)(根号2/2)=(7/10)倍根号2 .
(1):(cosx)^2+(sinx)^2=1,x属于(0,π/2),sinx>0,所以,sinx=4/5 .(2)sin (x+π/4)=sinxcosπ/4+cosxsinπ/4=(4/5)(根号2/2)+(3/5)(根号2/2)=(7/10)倍根号2 .