pure maths MI

2010-08-13 3:43 am
sinθ + sin3θ+...+sin(2n-1)θ=(sin^nθ)/(sinθ), where θ is not a multiple of 兀

回答 (2)

2010-08-13 5:01 am
✔ 最佳答案
Let P(n) be sinθ + sin3θ+...+sin(2n-1)θ=(sin^nθ)/(sinθ)
When n = 1,
L.S. of P(n) = sinθ
R.S. of P(n) = sinθ/sinθ = 1
L.S. of P(n) =/= R.S. of P(n)
P(1) is not true.
Disprove.

2010-08-13 17:40:00 補充:
Then just like what I have done in http://hk.knowledge.yahoo.com/question/question?qid=7010081201659
參考: Knowledge is power.
2010-08-13 8:42 pm
The Question should be:
sinθ + sin3θ+...+sin(2n-1)θ=(sin^2(nθ))/(sinθ), where θ is not a multiple of 兀


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