關於inequality

2008-04-03 2:59 am
想問下點解 一個range square 左後, 會出左0 既
e.g. -1<= sinx <=1
square 左後會變左 0< sinx <= 1
我唔明呢個concept 呀
唔識解釋一下~~

回答 (2)

2008-04-03 9:30 pm
✔ 最佳答案
Consider the two cases where -1 <= sinx <0 and 0<=sinx <1.
If 0<= sinx <=1,
Afetr squaring, 0<= sin2x <=1

If -1<= sinx < 0,
After squaring, 1 >= sin2x > 0

Therefore, in general,
0 <= sin2x <= 1
2008-04-03 4:01 am
所有數square 都係正數
所以冇左負
square 左應該係會變左 0&lt; sin^2 x &lt;= 1


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