sin cos tan 問題

2011-04-28 2:33 am
cosX * sin70 - sinX * sin20 = 1.25 cos70
Find X.
更新1:

cosX * cos20° - sinX * sin20° = 1.25 cos70° more detail please!!!!not too understand cos (X + 20°) = 1.25 cos70°

回答 (1)

2011-04-28 3:00 am
✔ 最佳答案
cosX * sin70° - sinX * sin20° = 1.25 cos70°cosX * cos20° - sinX * sin20° = 1.25 cos70°cos (X + 20°) = 1.25 cos70°X + 20° = 2k(180°) ± arccos (1.25 cos70°) , where k is an integer.X = 360°k ± arccos (1.25 cos70°) - 20°X = 360°k ± 64.6894° - 20°X = 360°k ± 44.6894°

2011-04-27 22:56:12 補充:
修正 :

X = 360°k ± 64.6894° - 20°

X = 360°k + 64.6894° - 20° = 360°k + 44.6894°



X = 360°k - 64.6894° - 20° = 360°k - 84.6894°

Sorry!

2011-04-27 22:57:27 補充:
修正 :

X = 360°k ± 64.6894° - 20°

X = 360°k + 64.6894° - 20° = 360°k + 44.6894°



X = 360°k - 64.6894° - 20° = 360°k - 84.6894°

Sorry!

2011-04-28 20:19:50 補充:
公式 :

cos(A+B) = cosA cosB - sinA sinB

所以

cos(X+20°) = cosX cos20° - sinX sin20°


收錄日期: 2021-04-20 13:44:18
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110427000051KK01046

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