2002 ce maths mc 48

👨🏻‍🏫 學術台數學

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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