cosx乘以cos2x化简
@穆丁3651:cosx*cos2x*cos3x*cos4x*cos5x怎么化简?结果是多少 -
钟福17380385933…… cosx*cos2x*cos4x = 2 sinx*cosx*cos2x*cos4x / (2sinx) = sin2x * cos2x *cos4x /(2sinx) =......= sin8x / (8sinx) cos3x*cos5x =(1/2) ( cos8x +cos2x) 原式= (1/16) (1/sinx) [ sin8x cos8x + sin8xcos2x ] = (1/32) (1/sinx) [ sin16x + sin10x +sin6x ]
@穆丁3651:cos2x化简 - 作业帮
钟福17380385933…… [答案] cos2X =cos(x+x) =cosx*cosx-sinx*sinx =(cosX)^2-(sinX)^2 =2*(cosX)^2-1 =1-2*(sinX)^2
@穆丁3651:cosx乘cos2x乘cos4x乘cos8x的导数 -
钟福17380385933…… 都乘以sinx 原式=sinx*cosx*cos2x*cos4x*cos8x/sinx =1/2sin2x*cos2x*cos4x*cos8x/sinx =1/4sin4x*cos4x*cos8x/sinx =1/8sin8x*cos8x/sinx =1/16 sin16x/sinx 后面就很简单了吧.
@穆丁3651:化简(cos2x/sinx+cosx) - (cos2x/sinx - cosx) -
钟福17380385933…… 原式=(cos²x-sin²)/(cosx+sinx)+(cos²x-sin²)/(cosx-sinx) 由平方差 =cosx-sinx+cosx+sinx =2cosx
@穆丁3651:2cosx乘以cosx等于 -
钟福17380385933…… 您好,原式=2cos平方X=cos2x+1. 不知您是否需要这样化简.
@穆丁3651:cosx乘cos2x乘cos4x乘cos8x的导数 - 作业帮
钟福17380385933…… [答案] 都乘以sinx 原式=sinx*cosx*cos2x*cos4x*cos8x/sinx =1/2sin2x*cos2x*cos4x*cos8x/sinx =1/4sin4x*cos4x*cos8x/sinx =1/8sin8x*cos8x/sinx =1/16 sin16x/sinx 后面就很简单了吧.
@穆丁3651:化简: sinx cosx cos2x =? 需要详细过程,谢谢 -
钟福17380385933…… sinx cosx cos2x =0.5(2sinxcosx)cos2x =0.5(sin2xcos2x) =0.5*0.5sin4x =(1/4)*sin4x
@穆丁3651:cos^2(2x)怎么化简为1/2(1+cos4x) 最好过程详细 -
钟福17380385933…… 这是根据2倍角公式化简的 cos2x=cos(x+x)=cosxcosx-sinxsinx=cos²x-sin²x=2cos²x-1 所以cos²x=(cos2x+1)/2 把x换成2x 那么cos²2x=(1+cos4x)/2
@穆丁3651:化简: sinx cosx cos2x =? 需要详细过程,谢谢 - 作业帮
钟福17380385933…… [答案] sinx cosx cos2x =0.5(2sinxcosx)cos2x =0.5(sin2xcos2x) =0.5*0.5sin4x =(1/4)*sin4x
@穆丁3651:2sin2x/1+cos2x乘cos^2x/cos2x化简等于? - 作业帮
钟福17380385933…… [答案] [2sin2x/(1+cos2x)]*[cos^2x/cos2x] =[2*2cosx*sinx/(1+2cos^2x-1)]*[cos^2x/cos2x] =[2sinx/cosx]*[cos^2x/cos2x] =2sinx*cosx/cos2x =sin2x/cos2x =tan2x
钟福17380385933…… cosx*cos2x*cos4x = 2 sinx*cosx*cos2x*cos4x / (2sinx) = sin2x * cos2x *cos4x /(2sinx) =......= sin8x / (8sinx) cos3x*cos5x =(1/2) ( cos8x +cos2x) 原式= (1/16) (1/sinx) [ sin8x cos8x + sin8xcos2x ] = (1/32) (1/sinx) [ sin16x + sin10x +sin6x ]
@穆丁3651:cos2x化简 - 作业帮
钟福17380385933…… [答案] cos2X =cos(x+x) =cosx*cosx-sinx*sinx =(cosX)^2-(sinX)^2 =2*(cosX)^2-1 =1-2*(sinX)^2
@穆丁3651:cosx乘cos2x乘cos4x乘cos8x的导数 -
钟福17380385933…… 都乘以sinx 原式=sinx*cosx*cos2x*cos4x*cos8x/sinx =1/2sin2x*cos2x*cos4x*cos8x/sinx =1/4sin4x*cos4x*cos8x/sinx =1/8sin8x*cos8x/sinx =1/16 sin16x/sinx 后面就很简单了吧.
@穆丁3651:化简(cos2x/sinx+cosx) - (cos2x/sinx - cosx) -
钟福17380385933…… 原式=(cos²x-sin²)/(cosx+sinx)+(cos²x-sin²)/(cosx-sinx) 由平方差 =cosx-sinx+cosx+sinx =2cosx
@穆丁3651:2cosx乘以cosx等于 -
钟福17380385933…… 您好,原式=2cos平方X=cos2x+1. 不知您是否需要这样化简.
@穆丁3651:cosx乘cos2x乘cos4x乘cos8x的导数 - 作业帮
钟福17380385933…… [答案] 都乘以sinx 原式=sinx*cosx*cos2x*cos4x*cos8x/sinx =1/2sin2x*cos2x*cos4x*cos8x/sinx =1/4sin4x*cos4x*cos8x/sinx =1/8sin8x*cos8x/sinx =1/16 sin16x/sinx 后面就很简单了吧.
@穆丁3651:化简: sinx cosx cos2x =? 需要详细过程,谢谢 -
钟福17380385933…… sinx cosx cos2x =0.5(2sinxcosx)cos2x =0.5(sin2xcos2x) =0.5*0.5sin4x =(1/4)*sin4x
@穆丁3651:cos^2(2x)怎么化简为1/2(1+cos4x) 最好过程详细 -
钟福17380385933…… 这是根据2倍角公式化简的 cos2x=cos(x+x)=cosxcosx-sinxsinx=cos²x-sin²x=2cos²x-1 所以cos²x=(cos2x+1)/2 把x换成2x 那么cos²2x=(1+cos4x)/2
@穆丁3651:化简: sinx cosx cos2x =? 需要详细过程,谢谢 - 作业帮
钟福17380385933…… [答案] sinx cosx cos2x =0.5(2sinxcosx)cos2x =0.5(sin2xcos2x) =0.5*0.5sin4x =(1/4)*sin4x
@穆丁3651:2sin2x/1+cos2x乘cos^2x/cos2x化简等于? - 作业帮
钟福17380385933…… [答案] [2sin2x/(1+cos2x)]*[cos^2x/cos2x] =[2*2cosx*sinx/(1+2cos^2x-1)]*[cos^2x/cos2x] =[2sinx/cosx]*[cos^2x/cos2x] =2sinx*cosx/cos2x =sin2x/cos2x =tan2x