數學!! 急!!!!! 唔該~~~今日內要

2009-12-17 5:07 am
若SINα)=9/41,cos(α+β)=7/25,且α,β均為銳角,試求sinβ的值
急!!!!!!!!!!!!!!!!!!!!!!!!!

回答 (1)

2009-12-17 5:36 am
✔ 最佳答案
若 sinA = 9/41 , cos(A+B) = 7/25 ,且A,B 均為銳角,試求sinB 的值
已知 sinA = 9/41 , ∴ cosA = 40/41, ∵A為銳角,
cos(A+B) = 7/25 , ∴ sin(A+B) = 24/25, ∵A+B之和少于90゚
cosAcosB - sinAsinB = 7/25
40/41 cosB - 9/41 sinB = 7/25...............(1)
sinAcosB + sinBcosA = 24/25
9/41 cosB + 40/41 sinB = 24/25..............(2)
解 (1) 和 (2)

cosB =496/1025
sinB = 897/1025


收錄日期: 2021-04-13 16:59:08
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20091216000051KK01453

檢視 Wayback Machine 備份