已知cos(π/6—α)=1/3.则cos(5/6π+α)· sin(2/3π-α)=?其中一步sin(2/3π-α)= sin[3π/2-(5π/6+α)]=-cos(5/6π+α)为什么sin[3π/2-(5π/6+α)]能化成 -cos(5/6π+α)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/12 11:43:44

已知cos(π/6—α)=1/3.则cos(5/6π+α)· sin(2/3π-α)=?其中一步sin(2/3π-α)= sin[3π/2-(5π/6+α)]=-cos(5/6π+α)为什么sin[3π/2-(5π/6+α)]能化成 -cos(5/6π+α)
已知cos(π/6—α)=1/3.则cos(5/6π+α)· sin(2/3π-α)=?
其中一步
sin(2/3π-α)= sin[3π/2-(5π/6+α)]=-cos(5/6π+α)
为什么sin[3π/2-(5π/6+α)]能化成 -cos(5/6π+α)

已知cos(π/6—α)=1/3.则cos(5/6π+α)· sin(2/3π-α)=?其中一步sin(2/3π-α)= sin[3π/2-(5π/6+α)]=-cos(5/6π+α)为什么sin[3π/2-(5π/6+α)]能化成 -cos(5/6π+α)
sin[3π/2-(5π/6+α)]能化成 -cos(5/6π+α)
诱导公式sin(3π/2-a)=-cosa