中二maths-三角比

2010-05-23 6:41 pm
唔該幫我做呢2條maths,thz"

請按下面網頁睇問題

1.化簡下列問題:
http://hk.myblog.yahoo.com/owinsono/photo?pid=33&fid=2

2.證明:
http://hk.myblog.yahoo.com/owinsono/photo?pid=34&fid=2

回答 (1)

2010-05-23 8:16 pm
✔ 最佳答案
1.
[4tanθ/cos(90º - θ)] - [1/sin(90º - θ)]
= [4tanθ/sinθ] - [1/cosθ]
= [4(sinθ/cosθ)/sinθ] - [1/cosθ]
= [4/cosθ] - [1/cosθ]
= 3/cosθ
(or 3secθ)


2.
L.H.S.
= tanθ + (1/tanθ)
= (sinθ/cosθ) + (cosθ/sinθ)
= (sin²θ/sinθcosθ) + (cos²θ/sinθcosθ)
= (sin²θ + cos²θ)/sinθcosθ
= 1/sinθcosθ
= 1/sinθsin(90º - θ)
= R.H.S.
參考: fooks


收錄日期: 2021-04-13 17:16:26
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