(sin2a+cos2a-1)(sin2a-cos2a+1)除以sin4a=根号3,a为锐角,求角a的值,

问题描述:

(sin2a+cos2a-1)(sin2a-cos2a+1)除以sin4a=根号3,a为锐角,求角a的值,
1个回答 分类:数学 2014-11-11

问题解答:

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(sin2a+cos2a-1)(sin2a-cos2a+1)=sin²2a-(cos2a-1)²=-2cos²2a+2cos2a=根号3 sin4a,即-2cos²2a+2cos2a=2√3sin2acos2a ,即2cos2a(1-cos2a-√3sin2a)=0,即4cos2asina(sina-√3cosa)=0即a=45°或a=60°
 
 
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