數學三角函數

2010-11-12 11:49 pm
設θ為實數,若sinθ-cosθ=1/3,則sesθ-cosθ=? A:3/4

回答 (2)

2010-11-13 6:53 am
✔ 最佳答案
sinθ-cosθ=1/3 兩邊平方

(sinθ)^2-2*sinθ*cosθ+(cosθ)^2=1/9

1-2*sinθ*cosθ=1/9

-2*sinθ*cosθ=-8/9

sinθ*cosθ=4/9


題目可能應該是

secθ-cscθ

=(1/cosθ)-(1/sinθ)

=(sinθ-cosθ)/(sinθ*cosθ)

=(1/3)/(4/9)

=(1/3)*(9/4)

=3/4
2010-11-13 1:03 am
sinθ - cosθ = 1/3

sin 58.633 - cos 58.633 = 1/3

So θ = 58.633°

sec 58.633 - cos 58.633 = 0.65065 not 3/4

Your answer is wrong.


收錄日期: 2021-04-21 22:16:40
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20101112000016KK03788

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