a.maths

2007-02-20 7:09 pm
prove:

2sinx + sin2x = (2sin^3x)/(1-cosx)

回答 (1)

2007-02-20 7:23 pm
✔ 最佳答案
2sinx + sin2x

= 2sinx + 2sinxcosx

= 2sinx(1 + cosx)

= 2sinx(1 + cosx)(1 - cosx) / (1 - cosx)

= 2sinx[1 - (cosx)^2] / (1 - cosx)

= 2sinx(sinx)^2 / (1 - cosx)

= 2(sinx)^3 / (1 - cosx)


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