一條數!! HELP!!!!!

2007-05-28 7:03 pm
如果sinθ=2/3,求(cosθ / tanθ )+sinθ 的值

請列過程& Ans

回答 (2)

2007-05-29 5:19 am
✔ 最佳答案
let there be a right-angled TRIANGLE with side a, b, c, and let c be the longest side.
as sinθ=2/3, so a/c=2/3
when calculating with RATIO only, we can then say that b=(3x3 - 2x2)root = root5 = 2.23606...

cosθ = root5/3 = 0.745355...
tanθ = 2/root5 = 0.894427...
with sinθ=2/3

(cosθ / tanθ )+sinθ = root5/3 over 2/root5 + 2/3
= 5/6 + 2/3
= 3/2 = 1.5
2007-05-28 8:38 pm
cosx/tanx+sinx
=cos^2x/sinx+sinx
=(cos^2x+sin^2x)/sinx
=1/sinx
=1/2/3
=3/2
參考: me#v#


收錄日期: 2021-04-12 19:50:06
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20070528000051KK00959

檢視 Wayback Machine 備份