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已知sin(x+派/6)=1/4,求sin(x-(5/6)派)+sin(派/3-x)

题目详情
已知sin(x+派/6)=1/4,求sin(x-(5/6)派)+sin(派/3-x)
▼优质解答
答案和解析
sin(x+π/6)=1/4,则sin(x-5π/6)=sin[π-(x-5π/6)]=sin(x+π/6)=1/4,sin(π/3-x)=sin[π/2-(x+π/6)]=cos(x+π/6)=±√15/4,则原式=(1±√15)/4