根号3sinx+cosx=?
问题描述：
根号3sinx+cosx=?
答
0.5sin(x+30)
答
√3sinx+cosx
=2(√3/2*sinx+1/2*cosx)
=2(cosπ/6*sinx+sinπ/6*cosx)
=2sin(x+π/6)
或
√3sinx+cosx
=2(√3/2*sinx+1/2*cosx)
=2(sinπ/3*sinx+cosπ/3*cosx)
=2cos(x-π/3)
答
√3sinx+cosx
=2[(√3/2)sinx+(1/2)cosx]
=2sin(x+π/6)