cos(4π+a)=?
cos A =1/4\uff0c\u89d2A=?A=arc cos1/4\uff0c\u7ea6\u4e3a75.52249\u5ea6
cosa=\u221a5/5
sina=\u00b12\u221a5/5
\u5f53sina=2\u221a5/5\u65f6
cos(a-\u03c0/4)
= cosacos\u03c0/4+sinasin\u03c0/4
=\u221a5/5*\u221a2/2+2\u221a5/5*\u221a2/2
=\u221a10/10+2\u221a10/10
=3\u221a10/10
\u5f53sina=-2\u221a5/5\u65f6
cos(a-\u03c0/4)
= cosacos\u03c0/4+sinasin\u03c0/4
=\u221a5/5*\u221a2/2-2\u221a5/5*\u221a2/2
=\u221a10/10-2\u221a10/10
=-\u221a10/10
cos a
如果不知道a是神马的话。。那就只能说=cos a了。。这是神马诱导公式来着。
cosa
cosa
绛旓細sina(4蟺-a)=-sina,cos(4蟺-a)=cosa,tan(4蟺-a)=-tana
绛旓細鐢辫瀵煎叕寮廲os(蟺+a)=-cos蟺锛屾墍浠os(4蟺/3)=cos(蟺+蟺/3)=-cos蟺/3=-1/2銆俢os娲惧嵆cos蟺=-1銆備綑寮︼紙浣欏鸡鍑芥暟锛夛紝涓夎鍑芥暟鐨勪竴绉嶃傚湪Rt鈻矨BC锛堢洿瑙掍笁瑙掑舰锛変腑锛屸垹C=90掳锛屸垹A鐨勪綑寮︽槸瀹冪殑閭昏竟姣斾笁瑙掑舰鐨勬枩杈癸紝鍗砪osA=b/c锛屼篃鍙啓涓篶osa=AC/AB銆備綑寮﹀嚱鏁帮細f(x)=cosx銆備綑寮﹀嚱鏁...
绛旓細cosa鍥犱负浣欏鸡鍑芥暟鍛ㄦ湡鏄2鍏锛4鍏鏄懆鏈熺殑2鍊嶏紝鎵浠ュ嚱鏁板间笉鍙. 鍛尖
绛旓細閭d箞pi-a灏辨槸鍏充簬y杞村绉帮紝鍒欏叾鍊肩浉鍙嶏紝鎵浠ュ姞璐熷彿銆傜涓変釜锛cos(2蟺-a)=cosa锛屼负浠涔堝憿锛熷洜涓篶os鏄懆鏈熷嚱鏁帮紝鍒欏姞鍑2pi锛屽叾鍊间笉鍙樺垯cos(2蟺-a)=cos锛-a锛夛紝鍙堜粠绗竴涓湅锛宑os(-a)=cosa锛屾墍浠ユ湁cos(2蟺-a)=cosa 閭d箞绗洓涓憿锛宑os(4蟺-a)=cos(2蟺-a)=cos锛-a锛=cosa ...
绛旓細cos(3蟺锛4)=cos(蟺锛嵪锛4)=-cos蟺锛4 =-鈭2/2 鍦≧t鈻矨BC锛堢洿瑙掍笁瑙掑舰锛変腑锛屸垹C=90掳锛屸垹A鐨勪綑寮︽槸瀹冪殑閭昏竟姣斾笁瑙掑舰鐨勬枩杈癸紝鍗砪osA=b/c锛屼篃鍙啓涓篶osa=AC/AB銆備綑寮﹀嚱鏁帮細f(x)=cosx锛坸鈭圧锛夈傚熀鏈笁瑙掑嚱鏁板叧绯荤殑閫熻鏂规硶 鍏竟褰㈢殑鍏釜瑙掑垎鍒唬琛ㄥ叚绉嶄笁瑙掑嚱鏁帮紝瀛樺湪濡備笅鍏崇郴锛氾紙1锛...
绛旓細鐢辫瀵煎叕寮廲os(蟺+a)=-cos蟺锛屾墍浠cos(4蟺/3)=cos(蟺+蟺/3)=-cos蟺/3=-1/2銆cos娲鍗砪os蟺=-1銆備綑寮︼紙浣欏鸡鍑芥暟锛夛紝涓夎鍑芥暟鐨勪竴绉嶃傚湪Rt鈻矨BC锛堢洿瑙掍笁瑙掑舰锛変腑锛屸垹C=90掳锛屸垹A鐨勪綑寮︽槸瀹冪殑閭昏竟姣斾笁瑙掑舰鐨勬枩杈癸紝鍗砪osA=b/c锛屼篃鍙啓涓篶osa=AC/AB銆備綑寮﹀嚱鏁帮細f(x)=cosx銆備綑寮﹀嚱鏁...
绛旓細cos4 = cos[蟺+(4-蟺)] , 4-蟺鏄攼瑙掋俢os4 = - cos(4-蟺)arccos(cos4) = arccos[-cos(4-蟺)]= 蟺- (4-蟺)= 2蟺- 4 鍙嶄笁瑙掑嚱鏁拌绠楁硶鍒欙細arcsin(-x)=-arcsinx锛宎rccos(-x)=蟺-arccosx锛宎rccot(-x)=蟺-arccotx绛夈傚弽涓夎鍑芥暟璁$畻娉曞垯 鍙嶄笁瑙掑嚱鏁扮殑杩愮畻娉曞垯 鍏紡锛歝os(arc...
绛旓細鍥涘嶈鍏紡锛歴in4A=-4脳(cosA脳sinA脳(2脳sinA^2-1))cos4A=1+(-8脳cosA^2+8脳cosA^4)tan4A=(4脳tanA-4脳tanA^3)/(1-6脳tanA^2+tanA^4)
绛旓細鍥犱负cos锛圔 锛=cos锛-B锛,sin(C+蟺/2)=cosC 鎵浠cos锛埾/4锛嵨 锛=cos锛埼扁斚/4锛=sin锛埼扁斚/4+蟺/2锛