π≈3.1415926
π/2≈1.57..
π+π/2=4.71...
1<π/2<2<3<π<4<π+π/2
sin2> sin1> sin3 >sin4
画图,距π/2越近正弦值越大,4为第三象限为负值,最小!
根据单调性及对称性知sin1约等于sin2.14,y=sinx在1.57~4.71上单调递减,所以sin2>sin2.14>sin3>sin4.所以sin2>sin1>sin3>sin4
π<4<3/2π,sin4<0,所以sin4最小,
sin2 =sin(π-2) =sin1.14
sin3=sin(π-23 =sin0.14
sin0.14 < sin1