If csc A = m, csc B = n, sec A = p and sec B = q. State:
(a) csc(A + B) and (b) sec(A + B) in terms of m,n,p and q.
Compound Angle
2011-03-02 2:26 am
回答 (1)
2011-03-02 2:53 am
✔ 最佳答案
a)sin(A+B)= sinAcosB + cosAsinB= (1/m)(1/q) + (1/p)(1/n)= 1/(mq) + 1/(pn)= (pn + mq) / (pnmq)Socsc(A + B) = pnmq / (pn + mq) b)cos(A+B)= cosAcosB - sinAsinB= (1/p)(1/q) - (1/m)(1/n)= 1/(pq) - 1/(mn)= (mn - pq) / (mnpq)Sosec(A + B) = mnpq / (mn - pq)
收錄日期: 2021-04-21 22:26:40
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110301000051KK00730