arctan等于多少 arctan1等于多少？
arctan\u7b49\u4e8e\u591a\u5c11arctan \u53cd\u6b63\u5207
Arctan \u53cd\u6b63\u5207,\u53cd\u6b63\u5207\u51fd\u6570,\u4e09\u89d2\u51fd\u6570
ArcTan model ArcTan\u6a21\u578b
arctan function \u53cd\u6b63\u5207\u51fd\u6570
\u53ef\u4ee5\u7528\u5361\u897f\u6b27\u8ba1\u7b97\u5668\u8ba1\u7b97\u3002 \u8ba1\u7b97\u5668\u8868\u8fbe\u65b9\u5f0ftan-1
\u4f8b\u5982arctan50=tan-1 50 =88.85423
arctan1\u7b49\u4e8ek\u03c0+\u03c0/4\uff08k\u4e3a\u6574\u6570\uff09\u3002
\u89e3\uff1a\u56e0\u4e3atanx\u4e0earctanx\u4e92\u4e3a\u53cd\u51fd\u6570\uff0c\u90a3\u4e48\u4ee4x=arctan1\uff0c
\u5219\uff0ctanx=1\uff0c
\u90a3\u4e48\u53ef\u89e3\u5f97x=\u03c0/4+k\u03c0\uff0c\u5176\u4e2dk\u4e3a\u6574\u6570\u3002
\u6269\u5c55\u8d44\u6599\uff1a
1\u3001\u53cd\u51fd\u6570\u6027\u8d28
\uff081\uff09\u4e00\u4e2a\u51fd\u6570\u4e0e\u5b83\u7684\u53cd\u51fd\u6570\u5728\u76f8\u5e94\u533a\u95f4\u4e0a\u5355\u8c03\u6027\u4e00\u81f4
\uff082\uff09\u4e00\u6bb5\u8fde\u7eed\u7684\u51fd\u6570\u7684\u5355\u8c03\u6027\u5728\u5bf9\u5e94\u533a\u95f4\u5185\u5177\u6709\u4e00\u81f4\u6027
\uff083\uff09\u53cd\u51fd\u6570\u662f\u76f8\u4e92\u7684\u4e14\u5177\u6709\u552f\u4e00\u6027\u3002
2\u3001\u7279\u6b8a\u89d2\u4e09\u89d2\u51fd\u6570\u503c
sin30\u00b0=1/2\u3001sin45\u00b0=\u221a2/2\u3001sin90\u00b0=1\uff0c
cos30\u00b0=\u221a3/2\u3001cos45\u00b0=\u221a2/2\u3001cos90\u00b0=0\uff0c
tan30\u00b0=\u221a3/3\u3001tan45\u00b0=1\u3001tan90\u00b0\u4e0d\u5b58\u5728\u3002
\u53c2\u8003\u8d44\u6599\u6765\u6e90\uff1a\u767e\u5ea6\u767e\u79d1-\u4e09\u89d2\u51fd\u6570
\u53c2\u8003\u8d44\u6599\u6765\u6e90\uff1a\u767e\u5ea6\u767e\u79d1-\u53cd\u51fd\u6570
反三角函数中的反正切。tan(a)=b等价于Arctan(b)=a
tan a=b
那么arctan b=a
y=tanA
A=arctany
反三角函数中的反正切。意思为：
tan(a) = b; 等价于 Arctan(b) = a。
1.tan(arctan a ) = a
arctan(-x) = -arctan x
arctan A + arctan B= arctan[(A+B)/(1-AB)]
arctan A - arctan B= arctan[(A-B)/(1+AB)]
arctan x + arctan (1/x) =π/2
2.反三角函数在无穷小替换公式中的应用：
当x→0时，arctanx~x
3.反三角函数的导数
(arctanx)’=1/1+x²
绛旓細7. arctan x-arctan y = arctan[(x-y)/(1+xy)] 銆傚叾涓紝瑙勫垯 1 鍜 2 鏄鍙嶆鍒鍑芥暟鐨勫熀鏈硷紝瑙勫垯 3 鏄弽姝ｅ垏鍑芥暟 鐨勫绉版ц川锛岃鍒 4 鍜 5 鏄弽姝ｅ垏鍑芥暟鐨勫姞鍑忓叕寮忥紝瑙勫垯 6 鍜 7 鏄鍙 姝ｅ垏鍑芥暟鐨勫拰宸叕寮忋 閫氳繃杩欎簺瑙勫垯锛屾垜浠彲浠ュ揩閫熷噯纭湴璁＄畻鍙嶆鍒囧嚱鏁扮殑鍊硷紝甯姪 鎴戜滑鏇村ソ鍦...
绛旓細arctanx绛変簬y=tanx锛泋=arctany锛屽彟澶栧弽涓夎鍑芥暟鍖呮嫭锛氬弽姝ｅ鸡鍑芥暟銆佸弽浣欏鸡鍑芥暟銆鍙嶆鍒鍑芥暟銆佸弽浣欏垏鍑芥暟銆佸弽姝ｅ壊鍑芥暟銆佸弽浣欏壊鍑芥暟銆 鎵╁睍璧勬枡 arctanx绛変簬y=tanx锛泋=arctany锛屽彟澶栧弽涓夎鍑芥暟鍖呮嫭锛氬弽姝ｅ鸡鍑芥暟銆佸弽浣欏鸡鍑芥暟銆佸弽姝ｅ垏鍑芥暟銆佸弽浣欏垏鍑芥暟銆佸弽姝ｅ壊鍑芥暟銆佸弽浣欏壊鍑芥暟锛屽垎鍒涓篴rcsinx锛宎rc...
绛旓細Arctan1绛変簬蟺/4锛arctan0绛変簬0锛汚rctan1绛変簬45掳锛宎rctan0绛変簬0掳銆倅=arctanx鐨勫煎煙鑼冨洿鏄紙-蟺/2锛屜/2锛夛紝锛-90搴︼紝90搴︼級锛
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绛旓細arctanx=1/(1+x²)銆俛nx鏄鍒囧嚱鏁帮紝鍏跺畾涔夊煙鏄瘂x|x鈮(蟺/2)+k蟺,k鈭圸}锛屽煎煙鏄疪銆俛rctanx鏄鍙嶆鍒鍑芥暟锛屽叾瀹氫箟鍩熸槸R,鍙嶆鍒囧嚱鏁扮殑鍊煎煙涓猴紙-蟺/2,蟺/2锛夈傛帹瀵艰繃绋 璁緓=tant锛屽垯t=arctanx锛屼袱杈规眰寰垎 dx=[(cos²t+sin²t)/(cos²x)]dt dx=(1/cos&...
绛旓細arctan璁＄畻鏂规硶锛氳涓ら攼瑙掑垎鍒负A锛孊锛屽垯鏈変笅鍒楄〃绀猴細鑻anA=1.9/5锛屽垯 A=arctan1.9/5锛涜嫢tanB=5/1.9锛屽垯B=arctan5/1.9銆傚鏋滄眰鍏蜂綋鐨勮搴﹀彲浠ユ煡琛ㄦ垨浣跨敤璁＄畻鏈鸿绠椼傚畠琛ㄧず(-蟺/2,蟺/2)涓婃鍒囧绛変簬 x 鐨勯偅涓敮涓纭畾鐨勮锛屽嵆tan(arctan x)=x锛鍙嶆鍒鍑芥暟鐨勫畾涔夊煙涓篟鍗(-鈭烇紝+...
绛旓細涓嬮潰鏄arctan鏃犵┓绛変簬澶氬皯鐨勮В閲婏細arctan鏃犵┓瀹氫箟鍩熸槸鏁翠釜瀹炴暟闆嗭紝鑰屽煎煙鏄粙浜-蟺/2鍒跋/2涔嬮棿鐨勫紑鍖洪棿銆傚洜姝わ紝arctan鍑芥暟鍦ㄨ緭鍏ユ帴杩戞棤绌峰ぇ鏃讹紝鍏惰緭鍑鸿秼杩戜簬蟺/2鎴-蟺/2锛屽叿浣撳彇鍐充簬杈撳叆鐨勬璐熸с傛洿鍑嗙‘鍦拌锛屽綋杈撳叆瓒嬭繎浜庢鏃犵┓澶ф椂锛宎rctan鍑芥暟鐨勮緭鍑鸿秼杩戜簬蟺/2锛涘綋杈撳叆瓒嬭繎浜庤礋鏃犵┓澶ф椂锛宎rc...
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绛旓細arctan1绛変簬蟺/4锛屽嵆45掳锛宎rctan0绛変簬0锛屽嵆0掳銆
绛旓細arctan1绛変簬蟺/4寮у害鎴45搴︺傚湪涓夎鍑芥暟涓紝鍙嶆鍒鍑芥暟arctan锛坸锛夌殑浣滅敤鏄敤鏉ユ眰寰椾竴涓鐨勫姬搴︽垨瑙掑害锛屽叾瀹氫箟鍩熶负瀹炴暟闆嗗悎銆傚弽姝ｅ垏鍑芥暟鐨勫畾涔夋槸锛歽=arctan锛坸锛夊垯鏈塼an锛坹锛=x锛屽叾涓瓁涓轰换鎰忓疄鏁般傚湪姹傝Вarctan1鏃讹紝浠ｅ叆x=1寰楀埌tan锛坹锛=1锛岀敱浜45搴﹀拰蟺/4寮у害瀵瑰簲鐨勬鍒囧奸兘鏄1锛屽洜姝わ紝...
