中四數學題

2010-11-15 6:55 am
請化簡
1
___________- tan^2(90-[e])
cos^2(90+[e])

回答 (2)

2010-11-15 8:21 pm
✔ 最佳答案
請化簡

      1
─────────────── - Tan^2(90度-〔e〕)
Cos^2 (90度+〔e〕)

       1
=─────────────── - (Cot(〔e〕))^2
  (-Sin(〔e〕))^2

       1
=─────────────── - Cot^2 (〔e〕)
  Sin^2 (〔e〕)

       1
=Csc^2 (〔e〕) ─ Cot^2 (〔e〕)

=1


2010-11-15 3:11 pm
1
- tan^2(90-[e])/cos^2(90+[e])
= [-(sin^2 (90- [e])/(cos^2 (90 - [e])]/cos^2 (90 +[e])
= [-sin^2 (180 - 90 + [e])/(cos^2 (90-[e])]/ sin^2 ([e]
= [-sin^2 (90 + [e])/sin^2 [e])/sin^2 [e]
= -cos^2 [e]/sin^4 [e]
參考: Hope the solution can help you^^”


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