三角变换公式是什么?
三角变换公式有如下:
1、sin(-α)=-sinα
2、cos(-α)=cosα
3、sin(π/2-α)=cosα
4、cos(π/2-α)=sinα
5、sin(π/2+α)=cosα
6、cos(π/2+α)=-sinα
7、sin(π-α)=sinα
8、cos(π-α)=-cosα
9、sin(π+α)=-sinα
10、tanα=sinα/cosα
11、tan(π/2+α)=-cotα
12、tan(π/2-α)=cotα
13、tan(π-α)=-tanα
14、tan(π+α)=tanα
绛旓細1銆佷簩鍊嶈鍏紡锛sin(2伪)=2sin伪路cos伪 cos(2伪)=cos^2(伪)-sin^2(伪)=2cos^2(伪)-1=1-2sin^2(伪)tan(2伪)=2tan伪/[1-tan^2(伪)]2銆佷笁鍊嶈鍏紡锛歴in3伪=3sin伪-4sin^3(伪)cos3伪=4cos^3(伪)-3cos伪 3銆佸崐瑙掑叕寮忥細sin^2(伪/2)=(1-cos伪)/2 cos^2(伪/2)...
绛旓細涓夎鍙樺寲鍏紡鏈夛細sin锛-伪锛=-sin伪锛沜os锛-伪锛=cos伪锛泂in锛埾/2-伪锛=cos伪锛沜os锛埾/2-伪锛=sin伪锛泂in锛埾/2+伪锛=cos伪锛沜os锛埾/2+伪锛=-sin伪锛泂in锛埾-伪锛=sin伪锛沜os锛埾-伪锛=-cos伪锛泂in锛埾+伪锛=-sin伪銆備笁瑙掑彉鍖栧叕寮忔槸鏁板涓父鐢ㄧ殑鍏紡锛岀敤浜庡皢涓涓鐨勫彉鍖栬浆鍖...
绛旓細sin(-伪)= -sin伪锛沜os(-伪) = cos伪锛泂in(蟺/2-伪)= cos伪锛沜os(蟺/2-伪) =sin伪锛泂in(蟺/2+伪) = cos伪锛沜os(蟺/2+伪)= -sin伪锛泂in(蟺-伪) =sin伪锛沜os(蟺-伪) = -cos伪锛泂in(蟺+伪)= -sin伪锛沜os(蟺+伪) =-cos伪锛泃anA= sinA/cosA锛泃an锛埾/2锛嬑憋級锛濓紞c...
绛旓細涓夎鍙樻崲鍏紡鏈夊涓嬶細1銆乻in(-伪)=-sin伪 2銆乧os(-伪)=cos伪 3銆乻in(蟺/2-伪)=cos伪 4銆乧os(蟺/2-伪)=sin伪 5銆乻in(蟺/2+伪)=cos伪 6銆乧os(蟺/2+伪)=-sin伪 7銆乻in(蟺-伪)=sin伪 8銆乧os(蟺-伪)=-cos伪 9銆乻in(蟺+伪)=-sin伪 10銆乼an伪=sin伪/cos伪 11銆乼an锛埾...
绛旓細涓夎鍙樻崲鍏紡鏈夛細瑙掑拰涓庡樊鐨勪笁瑙掑嚱鏁帮細cos(伪锛嬑诧級=cos伪路cos尾锛峴in伪路sin尾 cos(伪锛嵨诧級=cos伪路cos尾锛媠in伪路sin尾 sin(伪锛嬑锛=sin伪路cos尾锛媍os伪路sin尾 sin(伪锛嵨诧級=sin伪路cos尾锛峜os伪路sin尾 tan(伪锛嬑诧級=(tan伪锛媡an尾锛/(1-tan伪路tan尾锛塼an(伪锛嵨诧級=(tan...
绛旓細涓夎鎭掔瓑鍙樻崲鍏紡鍖呮嫭浠ヤ笅鍑犱釜涓昏鐨勫叕寮忥細鎭掔瓑寮忥細sin²伪+cos²伪=1 鍊嶈鍏紡锛歴in2伪=2sin伪cos伪锛宑os2伪=cos²伪-sin²伪锛宼an2伪=(2tan伪)/(1-tan²伪)杈呭姪瑙掑叕寮忥細sinx+cosx=鈭2sin(x+蟺/4)锛宻inx-cosx=鈭2cos(x-蟺/4)锛宻inxcosx=(sinx+cosx)/2...
绛旓細涓夎鎭掔瓑鍙樻崲鎵鏈鍏紡濡備笅锛1銆佸拰瑙掑叕寮忥細sin锛圓+B锛=sinAcosB+cosAsinB锛沜os锛圓+B锛=cosAcosB-sinAsinB锛泃an锛圓+B锛=锛坱anA+tanB锛/锛1-tanAtanB锛夈2銆佸嶈鍏紡锛歴in2A=2sinAcosA锛沜os2A=cos²A-sin²A锛泃an2A=锛2tanA锛/锛1-tan²A锛夈3銆佸崐瑙掑叕寮忥細sin锛圓/2锛=卤...
绛旓細涓夎鎭掔瓑鍙樻崲鍏紡濡備笅锛氭暟瀛︾殑涓绫诲叕寮忥紝鐢ㄤ簬涓夎鍑芥暟绛変环浠f崲锛屽彲浠ュ寲绠涓夎鍑芥暟寮忥紝渚夸簬杩愮畻銆傚熀鏈彲浠ヤ粠涓夎鍑芥暟鍥惧儚涓帹鍑鸿瀵煎叕寮忥紝涔熻兘浠庤瀵煎叕寮忎腑寤跺睍鍑哄叾浠栫殑鍏紡锛屽叾涓寘鎷嶈鍏紡锛屽拰宸寲绉紝涓囪兘鍏紡绛夈備袱瑙掑拰宸 1銆1cos(伪+尾)=cos伪路cos尾-sin伪路sin尾 2銆乧os(伪-尾)=cos伪路cos尾...
绛旓細涓夎鎭掔瓑鍙樻崲鏄竴缁勭敤浜庢敼鍐欎笁瑙掑嚱鏁拌〃杈惧紡鐨勫叕寮忋傚畠浠彲浠ュ皢涓涓笁瑙掑嚱鏁拌〃杈惧紡杞寲涓虹瓑浠风殑銆佷絾褰㈠紡涓婁笉鍚岀殑琛ㄨ揪寮忥紝浠庤岀畝鍖栬绠楁垨璇佹槑杩囩▼銆備互涓嬫槸甯歌鐨勪笁瑙掓亽绛鍙樻崲鍏紡锛1. 浣欏鸡鐨勫钩鏂逛笌姝e鸡鐨勫钩鏂瑰拰宸叕寮忥細cos²(x) + sin²(x) = 1 cos²(x) - sin²(x) = cos(...
绛旓細涓夎鍑芥暟鍙樺寲鍏紡濡備笅锛歴in(-伪)= -sin伪锛沜os(-伪) = cos伪锛泂in(蟺/2-伪)= cos伪锛沜os(蟺/2-伪) =sin伪锛泂in(蟺/2+伪) = cos伪锛沜os(蟺/2+伪)= -sin伪锛泂in(蟺-伪) =sin伪锛沜os(蟺-伪) = -cos伪锛泂in(蟺+伪)= -sin伪锛沜os(蟺+伪) =-cos伪锛泃anA= sinA/cosA锛泃a...