【高中数学】化简下列式子

2025-04-30 12:44:18
推荐回答(3个)
回答1:

=2sin[(π/6-a)-π/6]=2sin(-a)=-2sina

回答2:

√3*sin(π/6-α) - cos(π/6-α)

=2 * [ √3/2*sin(π/6-α) - 1/2*cos(π/6-α) ]
=2 * [ sin(π/6-α)*cos(π/6) - sin(π/6)*cos(π/6-α) ]
=2 * [ sin(π/6-α-π/6) ]
=2 * sin(-α)
=-2*sin(α)

回答3:

√3(sin30cosα-cos30sinα)-(cos30cosα+sin30sinα)=化简=-2sinα