作业帮y=sin(x+π/3)sin(x+π/2)化简
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y=sin(x+π/3)sin(x+π/2)化简
y=sin(x+π/3)sin(x+π/2)化简
y=sin(x+π/3)sin(x+π/2)化简
y=sin(x+π/3)sin(x+π/2)
=(sinxcosπ/3+cosxsinπ/3)cosx
=1/2sinxcosx+√3/2 cos²x
=1/4sin2x+√3/4(cos2x+1)
=1/4sin2x+√3/4 cos2x+√3/4
=1/2(1/2sin2x+√3/42cos2x)+√3/4
=1/2sin(2x+π/3) +√3/4
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