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化简sin^2Xsin^2Y+cos^2Xcos^2Y-0.5cos2Xcos2Y
人气:377 ℃ 时间:2020-05-29 19:48:08
解答
(sinx)^2(siny)^2+(cosx)^2(cosy)^2-1/2*cos2xcos2y
=(1-cos2x)/2*(1-cos2y)/2+(1+cos2x)/2*(1+cos2y)/2-1/2*cos2xcos2y
=(1-cos2x-cos2y+cos2xcos2y)/4+(1+cos2x+cos2y+cos2xcos2y)/4-1/2*cos2xcos2y
=(1+cos2xcos2y)/2-1/2*cos2xcos2y
=1/22sinX-cosX=1求sinX+conX+1/sinX-cosX+1两端平方 4(sinx)^2-4sinxcosx+(cosx)^2=(sinx)^2+(cosx)^23(sinx)^2=4sinxcosx1)sinx=0,则cosx=-1,代入得 02)sinx不为0,则 3sinx=4cosx,sinx=4/3*cosx,代入已知等式得 cosx=3/5,sinx=4/5代入得 20或2
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