y=sin二分之x从0到派的反函数咋写
y=2sinx/2(-π<=x<0)，则-2<=y<=0，sinx/2=y/2，x/2=arcsiny/2，x=2arcsiny/2则反函y=2arcsinx/2(-2<=x<=0)。y=2sinx/2(-π<=x<0)，则-2<=y<=0，sinx/2=y/2，x/2=arcsiny/2，x=2arcsiny/2则反函数y=2arcsinx/2(-2<=x<=0)。y=cosx x∈[-π，0]，则0<=π+x<=π、-1<=y<=1y=cosx=-cos(π+x)，cos(π+x)=-y，π+x=arccos(-y)=arccosy，x=arccos(-y)-π，反函数为y=arccos(-x)-π(-1<=x<=1)。
绛旓細y=2sinx/2(-蟺y=2sinx/2(-蟺<=x<0)锛屽垯-2<=y<=0锛sinx/2=y/2锛寈/2=arcsiny/2锛x=2arcsiny/2鍒欏弽鍑芥暟y=2arcsinx/2(-2<=x<=0)銆倅=cosx x鈭圼-蟺锛0]锛屽垯0<=蟺+x<=蟺銆-1<=y<=1y=cosx=-cos(蟺+x)锛宑os(蟺+x)=-y锛屜+x=arccos(-y)=arccosy锛寈=arccos(-...
绛旓細X/2=arcsiny锛孹=2arcsiny 鎵浠ュ綋蟺鈮鈮2蟺鏃讹紝y=sin(X/2)鐨勫弽鍑芥暟涓簓=2arcsinX(0鈮鈮1)
绛旓細瀵逛簬鍑芥暟y=sinx锛屸滀簲鐐规硶鈥濇槸鍙0銆佅/2銆佅銆3蟺/2銆2蟺锛岄偅涔堝浜巠=sin(2x)锛屽彇2x锛屽嵆杩欎釜鍑芥暟鐨勪簲涓偣鏄細x=0銆佅/4銆佅/2銆3蟺/4銆佅杩欎簲涓偣銆倅=sinx鐨勫嚱鏁板浘璞＄殑鍛ㄦ湡涓2*pi锛岃寉=sin2x鐨勫搱閭ｄ功鍥惧儚鐨勫懆鏈熶负pi锛屽皢y=sinx鍑芥暟鍥捐薄鐨勬í鍧愭爣缂╃煭涓鍗婂氨寰楀埌浜唝=sin2x鐨勫嚱鏁板浘...
绛旓細sin²x=(1-cos2x)/2 鍒欌埆(0,蟺/2) sin²x dx= 鈭(0,蟺/2) (1-cos2x)/2 dx =1/2鈭 (0,蟺/2) (1-cos2x)/2 d(2x)=1/4 (2x-sin2x) | (0,蟺/2)=1/4 (蟺-0)=蟺/4 浣犵殑绛旀閿欎簡鍚
绛旓細1)y=sinx,x鈭圼蟺/2,3蟺/2]-1鈮鈮1 x=arcsiny y=arcsinx -1鈮鈮1 2)y=arcsinx,x鈭圼0,1],y鈭圼k鈭,鈭/2+2k鈭廬x=siny y=sinx,x鈭圼k鈭,鈭/2+2k鈭廬
绛旓細y=sin2x T=2鈭/w tan(a-b)=(3-2)/(1+3*2)=1/7 (0,0) 鏄浘璞′笌x杞寸殑浜ょ偣 1锛2sin2鏂15搴︼紳cos30搴︼紳浜屽垎涔鏍瑰彿涓 2sin15-cos15锛濓紙鈭6-3鈭2锛/4 sin鏂15搴-cos鏂15搴=-cos30搴 鏈鍚庝竴涓緱1
绛旓細n=鍋舵暟鏃讹紝鈭o鍒2蟺鍙互鍖栦负4脳鈭玱鍒跋/2 n=濂囨暟鏃讹紝鈭玱鍒2蟺=0 缁撳悎瀹氱Н鍒嗙殑鍑犱綍瑙ｉ噴灏卞彲浠ユ槑鐧斤細n=鍋舵暟鏃堕潰绉浉鍔狅紱n=濂囨暟鏃舵槸闈㈢Н鐩告姷 姝ｄ綑寮﹀嚱鏁扮殑n娆℃柟鍦0鍒蟺/2鐨勭Н鍒嗗叕寮忥紝閭ｄ箞鏍规嵁涓夎鍑芥暟鐨勬ц川锛岀Н鍒嗗尯闂村彉鎴愪簡0鍒跋锛屾寮﹀嚱鏁扮殑绉垎鍊煎彉涓轰箣鍓嶇殑涓ゅ嶏紝浣欏鸡鍑芥暟闇瑕佸垎n鐨勫鍋舵...
绛旓細鐢诲浘涓嶆柟渚匡紝鍏堝垎鏋愪竴涓嬶紝浠庢爣鍑嗘寮﹀嚱鏁板嚭鍙戯紝2鍊嶅嵆鐩稿綋浜y杞村箙搴︽墿澶э紝2x鍗x杞村箙搴︾缉灏忋傚ぇ姒傛槸杩欐牱鐨勩備竴涓畬鏁寸殑鍛ㄦ湡銆
绛旓細鏃㈢劧x鈭圼0锛2蟺]锛岄偅涔堟墍鍙栫殑浜旂偣搴旇鏄0锛屜/2锛屜锛3蟺/2锛2蟺 x=0鏃讹紝y=0锛泋=蟺/2鏃讹紝y=1锛泋=蟺鏃讹紝y=0锛泋=3蟺/2鏃讹紝y=-1锛x=2蟺鏃讹紝y=0.鏁呮牴鎹繖5鐐癸紝鐢诲嚭鍥惧儚锛屽鍥
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