求sin(17π/6)=1/2 sin(17π/3)=负2分之根号3 的计算过程,
问题描述:
求sin(17π/6)=1/2 sin(17π/3)=负2分之根号3 的计算过程,
为什么第二个会是负的
答
利用诱导公式啊
sin(17π/6)
=sin(17π/6-2π)
=sin(5π/6)
=sin(π-5π/6)
=sin(π/6)
=1/2
而
sin(17π/3)
=sin(17π/3-6π)
=sin(-π/3)
=-sin(π/3)
=-√3/2,
这就是原因.