if cos2x=a, find sin4x+cos4x

2013-07-10 12:38 am
if cos2x=a, find sin4x+cos4x


圖片參考:http://imgcld.yimg.com/8/n/AF02894231/o/20130709163709.jpg



需要排式或作法.謝謝

回答 (1)

2013-07-10 12:53 am
✔ 最佳答案
Sol
Sin^4 x+Cos^4 x
=(Cos^2 x+Sin^2 x)-2Sin^2 xCos^2 x
=1-(1/2)Sin^2 (2x)
=1-(1/2)(1-a^2)
=(1/2)(2-1+a^2)
=(1+a^2)/2
(C)




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