1+rcosx化简成什么
(1-cotx)cscx。1+cosx可以化简成1+cosx=(1-cotx)cscx。数学是一种思想，一种通过已知明白未知的思想。学习它需要明白万事万物间都存在着某种联系，透过这种联系还有已知的有关的信息就可以得到我们未曾得知的信息。绛旓細(1-cotx)cscx銆1+cosx鍙互鍖栫畝鎴1+cosx=(1-cotx)cscx銆傛暟瀛︽槸涓绉嶆濇兂锛屼竴绉嶉氳繃宸茬煡鏄庣櫧鏈煡鐨勬濇兂銆傚涔犲畠闇瑕佹槑鐧戒竾浜嬩竾鐗╅棿閮藉瓨鍦ㄧ潃鏌愮鑱旂郴锛岄忚繃杩欑鑱旂郴杩樻湁宸茬煡鐨勬湁鍏崇殑淇℃伅灏卞彲浠ュ緱鍒版垜浠湭鏇惧緱鐭ョ殑淇℃伅銆
绛旓細tan(2伪)=2tan伪/[1-tan^2(伪)]路涓夊嶈鍏紡锛歴in3伪=3sin伪-4sin^3(伪)cos3伪=4cos^3(伪)-3cos伪 路鍗婅鍏紡锛歴in^2(伪/2)=(1-cos伪)/2 cos^2(伪/2)=(1+cos伪)/2 tan^2(伪/2)=(1-cos伪)/(1+cos伪)tan(伪/2)=sin伪/(1+cos伪)=(1-cos伪)/sin伪 路涓囪兘...
绛旓細3.绗﹀彿arcsinx鍙互鐞嗚В涓[-,]涓婄殑涓涓鎴栧姬,涔熷彲浠ョ悊瑙ｄ负鍖洪棿[-,]涓婄殑涓涓疄鏁;鍚屾牱绗﹀彿arccosx鍙互鐞嗚В涓篬0,蟺]涓婄殑涓涓鎴栧姬,涔熷彲浠ョ悊瑙ｄ负鍖洪棿[0,蟺]涓婄殑涓涓疄鏁;4.y=arcsinx绛変环浜巗iny=x, y鈭圼-,], y=arccosx绛変环浜巆osy=x, x鈭圼0, 蟺], 杩欎袱涓瓑浠峰叧绯绘槸瑙ｅ弽涓夎鍑芥暟闂鐨勪富瑕佷緷鎹;...
绛旓細鍑芥暟鐨勫畾涔夊煙涓锛歿x|x鈮燢蟺+蟺/2锛寈鈭R}锛屽師琛ㄨ揪寮忓寲绠寰楋細f(x)=[1+cos2x-sin2x]/cosx锛屽洜涓何卞湪绗涓璞￠檺锛屾墍浠in伪=4/5锛屼簬鏄痗os2x=1-2(sinx)^2=-7/25锛宻in2x=2sinxcosx=24/25锛屼唬鍏(x)=[1+cos2x-sin2x]/cosx鍖栫畝寰楋細f(x)=[1+cos2x-sin2x]/cosx=-3/5 ...
绛旓細(1)f(x)=(cosx+sinx)(cosx-sinx)+2sinxcosx =cos2x+sin2x =鈭2sin(2x+蟺/4)鍏舵渶灏忔鍛ㄦ湡T=2蟺/2=蟺 (2)x鈭圼0,蟺/2]2x+蟺/4鈭圼蟺/4,5蟺/4]鏁協(x)鐨勬渶澶у间负f(蟺/8)=鈭2 鏈灏忓糵(蟺/2)=-1
绛旓細y=1/2cos²x+锛堟牴鍙3锛/2 sinxcosx+1 =(1/2)*(cos2x +1)/2 +锛堟牴鍙3锛/4 *sin2x +1 =(1/2)*[cos2x*(1/2)+sin2x*鏍瑰彿3/2] + 5/4 =(1/2)*[cos2x*cos(蟺/3) +sin2x*sin(蟺/3)] +5/4 =(1/2)*cos(2x - 蟺/3) +5/4 ...
绛旓細鍑芥暟y=sint 鍦ㄣ愊嗭紝蟺/2+蠁銆戜笂鍏堝鍚庡噺锛屾墍浠ュ嚱鏁皊in(2x+蠁)鐨勬渶澶у涓 1 f(x)(MAX)=鈭7-1 鏈灏忓兼槸涓や釜绔偣涓殑涓涓垨涓や釜锛宻int鐨勫乏绔偣sin(蠁)=4/鈭7锛屽彸绔偣sin(蟺/2+蠁)=cos蠁=鈭3/鈭7;鍙 鈭3/鈭7 鎵浠(x)(min)=鈭7*(鈭3/鈭7)-1=鈭3-1 ...
绛旓細=鈭2/2 6.sin164掳sin224掳+sin254掳sin314掳=sin锛180掳-16掳锛塻in(270掳-46掳锛+sin(270掳-16掳锛塻in(360掳-46掳锛=-sin16掳cos46掳+cos16掳sin46掳=sin(46掳-16掳)=sin30掳=1/2 鍙﹀cos(a-b)cos(b-r)-sin(a-b)sin(b-r)=cos[(a-b)+(b-r)]=cos(a-r)...
绛旓細(sinx-1)^2+(cosx-1)^2) 鐨勫煎煙 f(x)=(sinx-1)/sqrt((sinx-1)^2+(cosx-1)^2) =-(1-sinx)/sqrt((1-sinx)^2+(1-cosx)^2) =-1/sqrt[1+(1-cosx)^2/(1-sinx)^2] =-1/sqrt[1+4/(1-cot(x/2))^4] 鎵浠(x)min=-1 f(x)max=0 鏁呭煎煙涓[-1,...
绛旓細鍒嗘瀽锛氭牴鎹簩椤瑰紡瀹氱悊锛鍖栫畝寰楀嚭f锛坸锛=[C8^0+C8^2cos²x+C8^4cos⁴x+C8^6锕cosx锕歗6+c8^8锕檆osx锕歗8]锛屼护cos²x=t 闄嶆鍚庯紝杞寲涓哄叧浜巘鐨勫洓娆″嚱鏁帮紝缁撳悎鍗曡皟鎬ф眰鍑烘渶鍊硷紟瑙ｇ瓟锛氳В锛氭牴鎹簩椤瑰紡瀹氱悊锛岋紙1+cosx锛塣8涓庯紙1-cosx锛塣8灞曞紑寮忎腑锛屽鏁伴」鐩哥瓑锛屽伓鏁伴」浜掍负...
