已知sin(a/2)=3/5,a为锐角,求sin2a的值答案是336/625,

问题描述:

已知sin(a/2)=3/5,a为锐角,求sin2a的值
答案是336/625,

sin(a/2)=3/5,a为锐角 推出cos(a/2)=4/5
sin2a=2sina*cosa=4sin(a/2)*cos(a/2)*[1-2sin(a/2)*sin(a/2)]
=336/625