2002 ce maths mc 48

2008-03-27 2:20 am
For 0≦x≦360, how many roots does the equation tan x = 2 sin x have?
更新1:

x is greater 或 equal 0和 smaller or equal 360

回答 (1)

2008-03-27 2:49 am
✔ 最佳答案
tan x = 2 sin x
sinx /cosx =2 sinx
sinx=2sinx cosx
sinx (1-2cosx)=0
sinx =0 or cosx =1/2
x = 0, 180,360 or x=60,300
so there is 5 roots
參考: my math knowledge


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