Question

cos（x-6分之π）＝-3分之根号3,求cos＋cos（x-3分之π）?

Answer 1

cosθ+cosφ = 2 cos[(θ+φ)/2] cos[(θ-φ)/2]
cosx+cos（x-π/3）
=2 cos[(x+x-π/3)/2] cos[(x-x+π/3)/2]
=2 cos(x-π/6) cosπ/6
=2(-3分之根3)(2分之根3)
=-1