sinx^2=(1-cos2x)/2是怎么来的。 cos2x=2cosx^2-1怎么来的

\u4e3a\u4ec0\u4e48cos2x=1-2(sinx)^2

\u4e3a\u4ec0\u4e48 cos 2x =1-2sin² x ?
\u56e0 \u4e3a cos 2x =cos² x - sin² x = 1 - 2sin² x

\u8fd9\u662f\u4e8c\u500d\u89d2\u516c\u5f0f\uff1a
cos2x=cos²x-sin²x
=2cos²x-1
=1-2sin²
\u6269\u5c55\u8d44\u6599\uff1a

cot\u662f\u4e09\u89d2\u51fd\u6570\u91cc\u7684\u4f59\u5207\u4e09\u89d2\u51fd\u6570\u7b26\u53f7\uff0c\u6b64\u7b26\u53f7\u5728\u4ee5\u524d\u5199\u4f5cctg\u3002cot\u5750\u6807\u7cfb\u8868\u793a\uff1acot\u03b8=x/y\uff0c\u5728\u4e09\u89d2\u51fd\u6570\u4e2dcot\u03b8=cos\u03b8/sin\u03b8,\u5f53\u03b8\u2260k\u03c0\uff0ck\u2208Z\u65f6cot\u03b8=1/tan\u03b8 (\u5f53\u03b8=k\u03c0\uff0ck\u2208Z\u65f6\uff0ccot\u03b8\u4e0d\u5b58\u5728)\u3002
\u500d\u89d2\u516c\u5f0f\uff1a\u662f\u4e09\u89d2\u51fd\u6570\u4e2d\u975e\u5e38\u5b9e\u7528\u7684\u4e00\u7c7b\u516c\u5f0f\u3002\u5c31\u662f\u628a\u4e8c\u500d\u89d2\u7684\u4e09\u89d2\u51fd\u6570\u7528\u672c\u89d2\u7684\u4e09\u89d2\u51fd\u6570\u8868\u793a\u51fa\u6765\u3002\u5728\u8ba1\u7b97\u4e2d\u53ef\u4ee5\u7528\u6765\u5316\u7b80\u8ba1\u7b97\u5f0f\u3001\u51cf\u5c11\u6c42\u4e09\u89d2\u51fd\u6570\u7684\u6b21\u6570\uff0c\u5728\u5de5\u7a0b\u4e2d\u4e5f\u6709\u5e7f\u6cdb\u7684\u8fd0\u7528\u3002
\u4e8c\u500d\u89d2\u516c\u5f0f\uff1a








cos2x=cos^2x-sin^2x=1-2sin^2x=2cos^2x-1
变形即可

  • sinx 2娆℃柟绛変簬
    绛旓細=cos^2-sinx^2 =1-2sinx^2 鎵浠ワ細sinx^2=(1-cos2x)/2 鍊嶈鍗婅鍏紡锛歴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 ) / 2)鐢...
  • sinx^2涓轰粈涔堜笉鏄懆鏈熷嚱鏁 sinx^2=(1-cos2x)/2 涓哄暐涓嶆槸鍛ㄦ湡鍑芥暟鍛恄鐧...
    绛旓細鍥犱负,sinx^2 = sin(x^2) ,涓嶆槸鍛ㄦ湡鍑芥暟锛泂in^2(x) = (sinx)^2 =锛1-cos2x锛/2 ,鎵嶆槸鍛ㄦ湡鍑芥暟.
  • (sinx)^2鐨勭Н鍒嗗叕寮忔槸浠涔?
    绛旓細涓銆佸叕寮忕殑鎺ㄥ 鈭玸in^2xdx =鈭(1-cos2x)dx/2 =(1/2)鈭(1-cos2x)dx =(1/2)(x-sin2x/2)+C =(2x-sin2x)/4+C 鎵浠sinx^2鐨勭Н鍒嗘槸(2x-sin2x)/4+C銆備簩銆佺Н鍒 1銆佺Н鍒嗘槸寰Н鍒嗗涓庢暟瀛﹀垎鏋愰噷鐨勪竴涓牳蹇冩蹇点傞氬父鍒嗕负瀹氱Н鍒嗗拰涓嶅畾绉垎涓ょ銆傜洿瑙傚湴璇达紝瀵逛簬涓涓粰瀹氱殑姝e疄鍊煎嚱...
  • 鍖栫畝sinx^2-cosxsinx
    绛旓細涓や釜鍏紡 sin(2x)锛2sin(x)cos(x)cos(2x)锛1锛2sin(x)^2 鎵浠 sin(x)^2=[1-cos(2x)]/2 cos(x)sin(x)=sin(2x)/2 sin(x)^2-cos(x)sin(x)=[1-cos(2x)]/2-sin(2x)/2 =[1-sin(2x)-cos(2x)]/2 =[1-鏍瑰彿2*sin(2x+45搴)]/2 ...
  • 姹傞珮鎵嬭瘉鏄Sinx鐨勫钩鏂逛负浠涔堢瓑浜(1-Cos2x)/2
    绛旓細杩欐槸鍜岃鍏紡鐨勫彉褰 cos(A+B)=cosAcosB-sinAsinB 褰揂=B=x鐨勬椂鍊,浣犱唬鍏ョ畻绠,cos(2x)=(cosx)^2-(sinx)^2 鍐嶇粨鍚(cosx)^2+(sinx)^2=1 涓ゅ紡鑱旂珛,灏卞緱鍑轰綘瑕佺殑缁撴灉浜
  • sinx^2鐨勯檷骞傚叕寮
    绛旓細sinx²娌℃湁闄嶅箓鍏紡锛屾湁闄嶅箓鍏紡鐨勬槸sin²x,鍏紡涓簊in²x=锛1-cos2x锛/2銆備笁瑙掑嚱鏁颁腑鐨勯檷骞傚叕寮忓彲闄嶄綆涓夎鍑芥暟鎸囨暟骞傘傚椤瑰紡鍚勯」鐨勫厛鍚庢寜鐓ф煇涓涓瓧姣嶇殑鎸囨暟閫愭笎鍑忓皯鐨勯『搴忔帓鍒,鍙仛杩欎竴瀛楁瘝鐨勯檷骞傘傜洿鎺ヨ繍鐢ㄤ簩鍊嶈鍏紡灏辨槸鍗囧箓锛屽皢鍏紡Cos2伪鍙樺舰鍚庡彲寰楀埌闄嶅箓鍏紡銆傚崐瑙掑叕寮忥細sin(A...
  • 1-cos2x鐨浜鍊嶈鍏紡鏄粈涔?
    绛旓細2脳(sinx)^2銆傜敱鍏紡锛氬彲寰楋細cos2x=2*(cosx)^2-1=1-2*(sinx)^2 鏁咃細1-cos2x=1-[1-2*(sinx)^2]=2脳(sinx)^2銆傚嶈鍏紡锛屾槸涓夎鍑芥暟涓潪甯稿疄鐢ㄧ殑涓绫诲叕寮忋傚氨鏄妸浜屽嶈鐨勪笁瑙掑嚱鏁扮敤鏈鐨勪笁瑙掑嚱鏁拌〃绀哄嚭鏉ャ傚湪璁$畻涓彲浠ョ敤鏉ュ寲绠璁$畻寮忋佸噺灏戞眰涓夎鍑芥暟鐨勬鏁帮紝鍦ㄥ伐绋嬩腑涔熸湁骞挎硾鐨...
  • 璇ヤ笁瑙掑嚱鏁板浣曞緱鍑烘潵鐨?(sinx)2(骞虫柟)=(1-cos2x)/2
    绛旓細鐢卞嶈鍏紡 cos2x=2(cosx)^2-1 =2[1-(sinx)^2]-1 =1-2锛坰inx锛塣2 鎵浠1-cos2x=2锛坰inx锛塣2 锛坰inx锛^2=(1-cos2x)/2
  • sinx^2=(1-cos2x)/2鏄庝箞鏉ョ殑銆
    绛旓細cos2x=cos^2x-sin^2x=1-2sin^2x=2cos^2x-1 鍙樺舰鍗冲彲
  • 1-cos2x绛変环鏃犵┓灏忔槸(2x²)/2,璇烽棶鎬庝箞鎺ㄥ鍑烘潵鐨,杩囩▼鍐欎竴涓媉鐧惧害鐭...
    绛旓細1-cos2x锛1-锛坈osx锛塣2+(sinx)^2锛1-[1-锛坰inx锛塣2]+(sinx)^2锛2(sinx)^2 鍥犱负sinx~x 鍚屾椂骞虫柟sin^2x~x^2 鑰宻in^2x绛変簬锛1-cos2x锛/2 鏁咃紙1-cos2x锛/2~x^2 鎵浠1-cos2x~2x^2 鍐嶅皢x=2t甯﹀叆寰1-cost~t^2/2
  • 扩展阅读:sin tan cos三角函数表 ... sin x 2 的积分 ... secx 2 ... cosx 2 ... sin2加cos2等于1海棠 ... sin与cos的转换公式大全 ... cos3x ... cos sin tan 基本公式 ... 1-cosx ...

    本站交流只代表网友个人观点,与本站立场无关
    欢迎反馈与建议,请联系电邮
    2024© 车视网