Please help to solve S2 math.

2008-05-07 9:19 am
If A and B are complementary angles, find the value of

cos A cos B + sin A sind B
______________________
sin A sin B

回答 (2)

2008-05-07 5:20 pm
✔ 最佳答案
A and B are complementary angles
so A+B = 90
and use the formula sin(90-A) = cosA
(cos A cos B + sin A sind B ) / (sin A sin B)
= (cos A cos (90-A) + sinA sin (90-A) ) / (sin A sin (90-A))
= (cos A sin A + sinA cos A ) / (sin A cos A)
= 2(cos A sin A ) / (sin A cos A)
=2
2008-05-12 11:28 pm
cosAcosB+sinAsinB =cos (A-B) 囉 = ="


收錄日期: 2021-04-13 15:31:32
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20080507000051KK00173

檢視 Wayback Machine 備份