sin2X-cos2X可以被化简成什么 怎样化简sin2x-cos2x-1=

sin2x+cos2x\u600e\u4e48\u5316\u7b80

sin2x+cos2x
= \u221a2\u00b7\u3010cos45\u00b7sin2X + sin45\u00b7cos2X\u3011
= \u221a2\u00b7sin[2X + 45]


\u5bf9\u5427 \u52a0\u6cb9

sin2x=sin(x+x), cos2x=cos(x+x)
\u539f\u5f0f=sinxcosx+sinxcosx-cosx²-sinx²-1
=-(sinx-cosx)²-1

仅供参考

提出一个√2（根号二），变成√2（sin2x-π/4）

sin2X-cos2X鍙互琚鍖栫畝鎴愪粈涔
绛旓細sin2X-cos2X=鈭2sin2Xcos蟺/4-鈭2cos2Xsin蟺/4=鈭2sin锛2x-蟺/4锛夊彲浠ュ寲绠浜嗭紝鐢变功涓婂叕寮忚繕鍙互鍖栨垚鈭2cos锛2x+蟺/4锛夈傜瓟妗堚垰2sin锛2x-蟺/4锛夋纭垰2cos锛2x+蟺/4锛変篃姝ｇ‘

y=sin2x-cos2x鎬庝箞鍖栫畝
绛旓細y =sin2x-cos2x =鈭2.sin(2x-蟺/4)

sin2x-cos2x鎬庝箞鍖栫畝?
绛旓細sin2X-cos2X =鈭2sin2Xcos蟺/4-鈭2cos2Xsin蟺/4 =鈭2sin锛2x-蟺/4锛夊嶈鍗婅鍏紡锛歴in ( 2伪 ) = 2sin伪 路 cos伪 sin ( 3伪 ) = 3sin伪 - 4sin & sup3 ; ( 伪 ) = 4sin伪 路 sin ( 60 + 伪 ) sin ( 60 - 伪 )sin ( 伪 / 2 ) = 卤 鈭( ( 1 - cos伪...

sin2x-cos2x鎬庝箞鍖栫畝
绛旓細瑙ｅ寲绠鏄牴2sin(x-鍏/4)

涓夎鍑芥暟鐨勫寲绠,y=sin 2x-cos2x,鎬庢牱鍖栫畝鍟?姹傝繖涓嚱鏁扮殑鍛ㄦ湡_鐧惧害鐭 ...
绛旓細鎬濊矾锛氬寲涓轰竴涓笁瑙掑嚱鏁帮紝鍏蜂綋濡傦細y= sin2x - cos2x = sin2x - sin(鈭/2-2x) = 2cos[(2x+鈭/2-2x)/2]*sin[(2x-鈭/2+2x)/2] = 2路鈭2/2路sin(4x-鈭/2) = -鈭2路cos4x,鎵浠ュ懆鏈熷氨鏄細T = 2鈭/蠅 = 2鈭/4 = 鈭/2 ....

sin2x-cos2x鐨勫寲绠涓鑳戒笉鑳鎶2鍑烘潵,鐒跺悗鍙樻垚:2(½sin2x-½cos...
绛旓細浼间箮涓嶈兘,濡備笅 涓嶈繃涔熷彲浠ュ彉鎴

sin2x-cos2x 鍖栫畝闂
绛旓細瑙ｇ敱sin2x-cos2x =鈭2锛堚垰2/2sin2x-鈭2/2cos2x锛=鈭2锛坈os蟺/4sin2x-sin蟺/4cos2x锛=鈭2sin锛2x-蟺/4锛夊彧鏈夋彁鍑衡垰2锛屾墠鑳芥瀯閫燾os蟺/4=鈭2/2锛宻in蟺/4=鈭2/2銆

sin2x-cos^2x鎬庝箞鍖栫畝
绛旓細2sinxcosx

sin2x-cos2x鎬庝箞鍖栨垚asin鐨勫舰寮
绛旓細杈呭姪瑙掑叕寮忥紝鎻愬彇绯绘暟骞虫柟鍜屽紑鏍瑰彿锛屼篃灏辨槸浜屽垎涔嬫牴鍙蜂簩

sin2x-cos2x=?
绛旓細sin2x鈥攃os2x =鈭2[sin2xcos(蟺/4)鈥cos2xsin(蟺/4)]=鈭2sin(2x-蟺/4)

扩展阅读：cos2x-sin2x等于多少 ... 1-cosx ... sin2x+cosx最值 ... sin2x除以cos2x ... 1-cos2x等于多少 ... 1-cos2x为什么等于sin2x ... sin 2xcos 2x化简过程 ... cos2x-sin2x怎么化简 ... sin2x-cos2x化简原理 ...