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2008-09-16 5:19 am
已知X是锐角,且tanX+tanX分之1=3分之4倍的根号3,求X的值

回答 (1)

2008-09-16 5:33 am
✔ 最佳答案
     tan x + cot x = 4√3/3
      3tanx + 3 = 4√3tan x <--- 整條式乘3tan x
 3tanx - 4√3tan x + 3 = 0
[tan x-√(1/3)](tan x-√3)=0
    tan x= √(1/3) or tan x = √3
     x= 30, 210 or x = 60, 240

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2008-09-15 21:34:36 補充:
30, 60, 210, 240 均有度數

2008-09-20 10:11:10 補充:
應該係:
3tan²x + 3 = 4√3tan x
3tan²x - 4√3tan x + 3 = 0


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