問數,關於tanx

2008-06-08 7:12 am
( *2 =二次方 )
-tan*2 x / 1+ tan*2x

= ?

答案-sin*2x
步驟係點?
更新1:

好似打錯左,答案sin*2x 冇負,係咪??

回答 (1)

2008-06-08 7:31 am
✔ 最佳答案
-tan^2 x / (1+ tan^2x)
=-tan^2x/(1+sin^2x/cos^2x)
=-tan^2x/(sin^2x+cos^2x)/cos^2x
=-tan^2x(cos^2x)
=(-sin^2x)(cos^2x)/cos^2x
=-sin^2x //


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