a-maths!!!!!

2008-04-08 6:59 am
a-maths!!!!!

下列各不等式中,0≤θ<2π。求θ值的範圍。
a 2sinθ≤1
b sin2θ+cosθ<0
更新1:

a 2sin²θ≤1

回答 (1)

2008-04-08 7:12 am
✔ 最佳答案
a 2sinθ≤1
sinθ ≤ 1/2
0≤θ≤π/6 or 5π/6 ≤θ< 2π
----------------------------------------------------
b sin2θ+cosθ<0
2sinθcosθ + cosθ< 0
(2sinθ+ 1) cosθ< 0
(2sinθ+ 1) < 0 and cosθ> 0 or (2sinθ+ 1) > 0 and cosθ< 0
sinθ < -1/2 and cosθ> 0 or sinθ > -1/2 and cosθ< 0
3π/2 <θ≤ 11π/6 or π/2 <θ< 7π/6


收錄日期: 2021-04-23 20:35:44
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20080407000051KK03189

檢視 Wayback Machine 備份