Question

化简√3sinα-cosα

Answer 1

√3sinα-cosα

=2(√3/2sinα-1/2cosα)

=2(cosπ/6sinα-sinπ/6cosα) 积化和差
=2sin(α-π/6)

Answer 2

√3sinα-cosα
=2(√3/2sinα-1/2cosα)
=2[sinαcos(π/6)-cosαsin(π/6)]
=2sin(α-π/6)