sin(π/3-α)如何等于sin(π/3+α)

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sin(π/3-α)如何等于sin(π/3+α)

sin(π/3-α)如何等于sin(π/3+α)
sin(π/3-α)如何等于sin(π/3+α)

sin(π/3-α)如何等于sin(π/3+α)
不相等的
sin(π/3+a)
=-sin(-a-π/3)
=-sin[π/3-(a+2π/3)]
所以sin(π/3-a)向左移2π/3,并沿着x轴翻转得到sin(π/3+a)

sin(π/3-α)=sin(π/3+α)
sin(π/3)cosα-cos(π/3)sinα=sin(π/3)cosα+cos(π/3)sinα
2cos(π/3)sinα=0
sinα=0
α=kπ, k为整数