(sin²A+sin²B)sin(A-B)=(sin²A-sin²B)sin(A+B)
乘出来,整理一下就得到了
sin²Asin(A-B)+sin²Bsin(A-B)=sin²Asin(A+B)-sin²Bsin(A+B)
移项
sin²A*[sin(A+B)-sin(A-B)]=sin²B*[sin(A-B)+sin(A+B)]
(sin²A+sin²B)sin(A-B)=(sin²A-sin²B)sin(A+B)
乘出来,整理一下就得到了
sin²Asin(A-B)+sin²Bsin(A-B)=sin²Asin(A+B)-sin²Bsin(A+B)
移项
sin²A*[sin(A+B)-sin(A-B)]=sin²B*[sin(A-B)+sin(A+B)]