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化简:cos^2x(2cos^2x+3)-sin^2x(2cos^2x+3)-4sin^2xcos^2x+3
人气:249 ℃ 时间:2020-04-05 08:11:50
解答
现将各项都乘开,然后将sin^2x=1-cos^2x带入
得8cos^4x过程能不能大略写一下-cos^2x(2cos^2x+3)-sin^2x(2cos^2x+3)-4sin^2xcos^2x+3=2cos^4x+3cos^2x-2cos^2xsin^2x-3sin^2x-4sin^2xcos^2x+3=2cos^4x+3cos^2x-6cos^2xsin^2x-3sin^2x+3=2cos^4x+3cos^2x-6cos^2x(1-cos^2x)-3(1-cos^2x)+3=2cos^4x+3cos^2x-6cos^2x+6cos^4x-3+3cos^2x+3=8cos^4x
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