试作函数y=arcsin(sinx)的图象
y=arcsin\uff08sinx\uff09\u7684\u51fd\u6570\u56fe\u50cf\u600e\u4e48\u753b\uff1f1\u3001\u8fd9\u4e2a\u51fd\u6570\u662f\u5947\u51fd\u6570\uff1b
2\u3001\u8fd9\u4e2a\u51fd\u6570\u662f\u5468\u671f\u51fd\u6570\uff0c\u6700\u5c0f\u6b63\u5468\u671f\u662f2\u03c0\uff1b
3\u3001\u5728\u533a\u95f4[\uff0d\u03c0/2\uff0c\u03c0/2]\u4e0a\uff0c\u5176\u56fe\u50cf\u662f\uff1ay=x
4\u3001\u6839\u636e\u4e0a\u8ff0\u5206\u6790\uff0c\u5c31\u53ef\u4ee5\u753b\u51fa\u51fd\u6570\u56fe\u50cf\u3002
y=arcsin(sinx)\u7684\u5b9a\u4e49\u57df\u4e3aR. \u5728x\u2208[-\u03c0/2+2k\u03c0,\u03c0/2+2k\u03c0]\u65f6,y=arcsin(sinx)=x-2k\u03c0,k\u2208Z \u5728x\u2208[\u03c0/2+2k\u03c0,3\u03c0/2+2k\u03c0]\u65f6,y=arcsin(sinx)=-x+\u03c0+2k\u03c0,k\u2208Z \u8868\u8fbe\u5f0f\u6bd4\u8f83\u590d\u6742,\u4e0d\u8fc7\u5bf9\u7167\u56fe\u50cf\u5c31\u53ef\u4ee5\u770b\u6e05\u695a\u4e86,\u6574\u4e2a\u51fd\u6570\u7684\u56fe\u50cf\u5173\u4e8e\u76f4\u7ebfx=\u03c0/2+2k\u03c0\u6210\u8f74\u5bf9\u79f0,\u4e3a\u4e00\u8fde\u7eed\u7684\u6298\u7ebf.
绛旓細璁板ソ鍏紡浠ュ悗锛岃鑷繁鎺ㄥ鍑犻亶锛屾妸鎻″叾涓彉鎹㈢殑鑱旂郴锛屽湪杩欎釜杩囩▼涓綋浼氬叾涓殑鏁板鍚箟銆傚畬鎴愪箣鍚庡紑濮嬪仛棰橈紝杩囩▼涓拰鑷繁鐨勭悊瑙ｇ浉浜掗獙璇侊紝鐪嬫湁鍝噷鑷繁鐞嗚В閿欒锛屽仛濂芥爣璁帮紝涔嬪悗鍥炶繃澶存潵浠旂粏鏌ョ湅銆傜幇鍦ㄩ珮鑰冮潪甯搁噸瑙嗕笁瑙鍑芥暟鍥惧儚涓庢ц川绛夊熀纭鐭ヨ瘑鐨勮冩煡锛屽湪瀛︿範涓夎鍑芥暟鏃讹紝瑕佹妸瑙掓斁鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓幓璁ㄨ锛...
绛旓細涓夎鍑芥暟甯哥敤鍏紡銆俿trong>涓よ鍜屽叕寮忥紝sin(A+B)=sinAcosB+cosAsinBsin(A-B)=sinAcosB-sinBcosA銆傚嶈鍏紡锛宼an2A=2tanA/(1-tan2A)ctg2A=(ctg2A-1)/2ctga銆傚崐瑙掑叕寮忥紝sin(A/2)=鈭((1-cosA)/2)sin(A/2)=-鈭((1-cosA)/2)銆傚拰宸寲绉紝2sinAcosB=sin(A+B)+sin(A-B)2cosAsinB...
绛旓細鍏充簬璇卞鍏紡锛屾墍鏈夌殑鍏紡閮藉彲浠ュ綊绾充负锛氬鍙樺伓涓嶅彉锛岀鍙风湅璞￠檺銆傚鍙樺伓涓嶅彉锛氬嵆鐪嬒/2鍓嶇殑绯绘暟鏄鏁拌繕鏄伓鏁帮紝濡傛灉鏄伓鏁帮紝閭ｄ箞鍑芥暟鍚嶄笉鍙橈紝濡傛灉鏄鏁帮紝鍙樻垚瀹冪殑浣欏悕鍑芥暟锛sin(3蟺/2+a)锛3鏄鏁版墍浠ュ彉涓篶os锛屽張濡俢ot(蟺+a),蟺=2*蟺/2锛2鏄伓鏁版墍浠ヤ笉鍙橈紝鍑芥暟鍚嶄粛涓篶ot銆
绛旓細绾ф暟灞曞紑鍗冲彲璇佹槑 灏鍑芥暟y=e^x銆亂=sinx銆亂=cosx鐢ㄥ箓绾ф暟灞曞紑,鏈 e^x=exp(x)锛1锛媥/1锛侊紜x^2/2锛侊紜x^3/3锛侊紜x^4/4锛侊紜鈥︼紜x^n/n锛侊紜鈥 <1> sinx=x-x^3/3!+x^5/5!-x^7/7!+鈥︹+(-1)^(k-1)*x^(2k-1)/(2k-1)!+鈥︹ <2> cosx=1-x^2/2!+x^4/...
绛旓細鎵浠 sinb = sin[a-(a-b)]= sinacos(a-b)-cosasin(a-b)= (1/2)*(4/5)-(-鈭3/2)*(-3/5)= (4-3鈭3)/10 銆備互涓婃槸瑙ｇ瓟杩囩▼锛屼笉鐭ユ槸鍚﹁窡浣犵殑涓鏍枫傝В绛旇矊浼兼纭紝瀹炲垯閿欒銆傚洜涓洪鐩湰韬氨閿欎簡锛屽鑷寸粨鏋滈敊璇備簨瀹炰笂锛宎 = 5蟺/6 锛宎-b = -arcsin(3/5) 锛屽洜姝 b = ...
绛旓細鎶夾⁎SI瀛楃杞崲鎴愬崟涓瓧鑺傘傝〃杈惧紡锛歳esult = ŃhrB(charcode)鍏朵腑rťsult鏄痓yte瀛愮被锛宑harcode鏄瘑鍒獳NS鑱夊瓧绗︾殑鏁板瓧銆6锛嶤hrW䀠鎶夾N⁓I瀛楃杞崲鎸怳nicodၥ瀛楄妭銆傝〃杈惧紡锛歳sult = ChrW(charcode)鍏朵腑resut鏄疷nicode瀛楃锛2瀛楄妭锛夛紝charcode鏄瘑鍔...
绛旓細cos2x-sinx)=1/2(1-2sin²x-sinx)=-[sin²x+(1/2)sinx-1/2]=-[sin²x+1/2sinx+1/16-1/2-1/16]=-(sinx+1/4)²+9/16.褰搒inx=-1/4 鏃,鍑芥暟h(f)鍙栨渶澶у,鏈澶у兼槸9/16,姝ゆ椂x鐨勯泦鍚堟槸{锛2k+1)蟺+arcsin(1/4),2k蟺-arcsin(1/4)k鈭圸}.
绛旓細鏁翠綋鍙Н灞閮ㄥ彲绉紝鍦紙0锛1/2锛夊鑰冭檻锛宭nx/(1-x)<=2lnx<0,浣嗘槸lnx鍦紙0锛1/2)涓嶅彲绉紝閭ｄ箞姣斾粬鏇村皬鐨勮偗瀹氫笉鍙Н浜 绗簩棰ArcSinh[1]/Sqrt[2]鐨勭‘鏄鐨勩傘傘傛垜鐨勭▼搴忔湁闂銆俢on鐨勮В娉曟槸瀵圭殑锛屾瘮杈僒aylor灞曞紡锛屽噾鍑烘潵鐨 include<iostream> using namespace std;int main(){ int...
绛旓細sin锛-a锛変篃灏辨槸-sina cos(-a)涔熷氨鏄痗osa锛堝洜涓篶os涓哄伓鍑芥暟锛塼an(-a)鍗-tana鍥犱负鐢ㄤ笂闈㈢殑sin/cos
绛旓細A-C)/2]=2sinB =2sin[(pi-B)/2]*cos[(A-C)/2]=2sinB =2[cos(B/2)]*(cos30搴︼級=sinB=2[sin(B/2)][cos(B/2)]鈥︼紙1锛夊洜涓0搴<B/2<90搴︼紝鎵浠os(B/2)闈為浂 鎵浠 2cos30搴=2sin(B/2),鎵浠in(B/2)=鏍瑰彿3/2 鎵浠/2=arcsin(鏍瑰彿3/2锛=60搴︼紝鎵浠=120搴....
