sinθ除以(cosθ-1)化简

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sinθ除以(cosθ-1)化简
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sinθ除以(cosθ-1)化简
sinθ除以(cosθ-1)化简

sinθ除以(cosθ-1)化简
∵cosx=1-2sin²(x/2).∴cosx-1=-2sin²(x/2).又sinx=2sin(x/2)cos(x/2).∴原式=(sinx)/(cosx-1)=[2sin(x/2)cos(x/2)]/[-2sin²(x/2)]=-[cos(x/2)]/[sin(x/2)]=-cot(x/2).