已知sin(π/4+x)=3/5,5π/12

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已知sin(π/4+x)=3/5,5π/12已知sin(π/4+x)=3/5,5π/12已知sin(π/4+x)=3/5,5π/12,5π/12sin(π/4+x)=sinx+cosx=3/5(sin

已知sin(π/4+x)=3/5,5π/12
已知sin(π/4+x)=3/5,5π/12

已知sin(π/4+x)=3/5,5π/12
,5π/12

sin(π/4+x)=sinx+cosx=3/5
(sinx)^2+(cosx)^2=1
连理方程,解得sinx=4/5 ,cosx=-1/5 (5π/12cos2x+tanx=(cosx)^2-(sinx)^2+tanx=-23/5