trigo. Q.

2008-02-23 11:35 pm
Find the general solution,
tan4x = cot3x (in radian)

answer is npi/7 + pi/14

*show me the steps.
更新1:

7x=2npi +/- pi/14 咩?

更新2:

乜唔咪 7x=2npi +/- pi/14 咩?

回答 (1)

2008-02-24 12:10 am
✔ 最佳答案
As follows~~~


圖片參考:http://i182.photobucket.com/albums/x4/A_Hepburn_1990/A_Hepburn08Feb231609.jpg?t=1203754204


2008-02-23 23:40:32 補充:
凡是cosx = 0的general solution,都是π/2的單數倍數。即π/2, 3π/2, 5π/2 等。所以所出的solution: 7x = nπ π/2, 而n為任何整數的話,那麼general solution 一定是出π/2 的單數倍數。因為nπ π/2 = (2n 1)π/2 ,n為任何整數,general solution一定是π/2的單數倍數。

2008-02-23 23:42:29 補充:
7x = nπ+π/2nπ+π/2 = (2n+1)π/2全部漏了加號。
參考: Myself~~~


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