化简3/2cosx+√3/2sinx

问题描述:

化简3/2cosx+√3/2sinx

√3/2sin(x+π/6)

3/2cosx+√3/2sinx
=√3(√3/2cosx+1/2sinx)
=√3(cosπ/6cosx+sinπ/6sinx)
=√3cos(π/6-x)

1).
3/2cosx+√3/2sinx
=√3(√3/2cosx+1/2sinx)
=√3sin(x+π/3)
(其中π/3即为60°)
2).也可为
3/2cosx+√3/2sinx
=√3(√3/2cosx+1/2sinx)
=√3(cosπ/6cosx+sinπ/6sinx)
=√3cos(π/6-x)