a-maths~~~~~

2007-10-16 4:39 am
若cosθ、cosecθ是方程3x²+hx-1=0的兩個根,其中π/2<θ<π,試求h的值,並以根式表示答案。

回答 (1)

2007-10-16 4:55 am
✔ 最佳答案
這題我曾解答過, 請參閱
http://hk.knowledge.yahoo.com/question/?qid=7007080504865
第三題。
For π/2 < θ < π, sin is +VE, cos is –VE and tan is –VE.
Sum of roots: cos θ + cosec θ = - h / 3
Product of roots: cos θ cosec θ = - 1 / 3
Then,
cot θ = - 1 / 3
tan θ = -3
cos θ = - 1 / √10
cosec θ = √10 / 3
So,
-1 / √10 + √10 / 3 = - h / 3
h = - 7 / √10 = - 7 √10 / 10
參考: My Maths Knowledge


收錄日期: 2021-04-23 20:32:45
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20071015000051KK03672

檢視 Wayback Machine 備份