三角函数证明题 sin(5/6π-a)+sin(5/6π+a)=cosa

发布时间:2021-02-19 20:57:11

三角函数证明题 sin(5/6π-a)+sin(5/6π+a)=cosa

网友回答

sin(5/6π-a)+sin(5/6π+a)
=sin5π/6·cosa - cos5π/6·sina +sin5π/6·cosa + cos5π/6·sina
=sin5π/6·cosa + sin5π/6·cosa
=2sin5π/6·cosa
=2×(1/2)·cosa
=cosa
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