Sin1等于多少？ sin1等于多少
sin0\uff1d \u7b49\u4e8e\u591a\u5c1101 0
sin0\u7b49\u4e8e0\uff0c\u662f\u6839\u636e\u6b63\u5f26\u7684\u5b9a\u4e49\u7b97\u51fa\u6765\u7684\u3002\u5728\u76f4\u89d2\u4e09\u89d2\u5f62\u4e2d\uff0c\u4efb\u610f\u4e00\u9510\u89d2∠A\u7684\u5bf9\u8fb9\u4e0e\u659c\u8fb9\u7684\u6bd4\u53eb\u505a∠A\u7684\u6b63\u5f26\uff0c\u8bb0\u4f5csinA\uff0c\u5373sinA=∠A\u7684\u5bf9\u8fb9/\u659c\u8fb9\u3002\u7531\u5b9a\u4e49\u53ef\u5f97\uff1aSin\u662f\u6b63\u5f26\uff0c\u5bf9\u8fb9\u6bd4\u659c\u8fb9\uff0c0\u5ea6\u89d2\u5bf9\u5e94\u7684\u5bf9\u8fb9\u957f\u5ea6\u5c31\u662f0\u3002
\u6b63\u5f26\uff08sine\uff09\uff0c\u6570\u5b66\u672f\u8bed\uff0c\u5728\u76f4\u89d2\u4e09\u89d2\u5f62\u4e2d\uff0c\u4efb\u610f\u4e00\u9510\u89d2∠A\u7684\u5bf9\u8fb9\u4e0e\u659c\u8fb9\u7684\u6bd4\u53eb\u505a∠A\u7684\u6b63\u5f26\uff0c\u8bb0\u4f5csinA\uff08\u7531\u82f1\u8bedsine\u4e00\u8bcd\u7b80\u5199\u5f97\u6765\uff09\uff0c\u5373sinA=∠A\u7684\u5bf9\u8fb9/\u659c\u8fb9\u3002\u7531\u5b9a\u4e49\u53ef\u5f97\uff1aSin\u662f\u6b63\u5f26\uff0c\u5bf9\u8fb9\u6bd4\u659c\u8fb9\uff0c0\u5ea6\u89d2\u5bf9\u5e94\u7684\u5bf9\u8fb9\u957f\u5ea6\u5c31\u662f0\uff0c\u800c90\u5ea6\u5bf9\u8fb9\u5c31\u662f\u659c\u8fb9\uff0c\u6240\u4ee5sin90=1\uff0csin0\u7b49\u4e8e0\uff0c\u662f\u6839\u636e\u6b63\u5f26\u7684\u5b9a\u4e49\u7b97\u51fa\u6765\u7684\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u6b63\u5f26\u51fd\u6570\u7684\u5b9a\u7406\uff1a\u5728\u4e00\u4e2a\u4e09\u89d2\u5f62\u4e2d\uff0c\u5404\u8fb9\u548c\u5b83\u6240\u5bf9\u89d2\u7684\u6b63\u5f26\u7684\u6bd4\u76f8\u7b49\uff0c\u5373 a/sin A=b/sin B=c/sin C\u3002
\u6b63\u5f26\u51fd\u6570\u7684\u5b9a\u7406\u5728\u4e09\u89d2\u5f62\u6c42\u9762\u79ef\u4e2d\u7684\u8fd0\u7528\uff1a
S\u25b3=c²sinAsinB/2sin(A+B)\uff08S\u25b3\u4e3a\u4e09\u89d2\u5f62\u7684\u9762\u79ef\uff0c\u4e09\u4e2a\u89d2\u4e3a∠A∠B∠C\uff0c\u5bf9\u8fb9\u5206\u522b\u4e3aa,b,c\uff09\u3002
S\u25b3=1/2acsinB=1/2bcsinA=1/2absinC \uff08\u4e09\u4e2a\u89d2\u4e3a∠A∠B∠C\uff0c\u5bf9\u8fb9\u5206\u522b\u4e3aa,b,c\uff09\u3002
\u53e6\u5916\uff0c\u5f53sin\u503c\u5728180~360\u4e4b\u95f4\u4f1a\u51fa\u73b0\u8d1f\u6570\uff0c\u5728360\u4ee5\u4e0a\u5219\u4f1a\u91cd\u590d\u3002
\u7279\u6b8a\u89d2\u7684\u4e09\u89d2\u51fd\u6570\u503c\uff1a
\uff081\uff09sin 0° = 0\u3002cos 0° = 1\u3001tan 0° = 0\u3002
\uff082\uff09sin 30° = 1/2\u3001cos 30° = √3/2\u3001tan 30° = √3/3\u3002
\uff083\uff09sin 45° = √2/2\u3001cos 45° = √2/2\u3001tan 45° = 1\u3002
\uff084\uff09sin 60° = √3/2\u3001cos 60° = 1/2\u3001tan 60° = √3\u3002
\uff085\uff09sin 90° = 1\u3001cos 90° = 0\u3002
\u540c\u89d2\u4e09\u89d2\u51fd\u6570\u7684\u57fa\u672c\u5173\u7cfb\u5f0f
\u5012\u6570\u5173\u7cfb\uff1atanα ·cotα=1\u3001sinα ·cscα=1\u3001cosα ·secα=1\uff1b
\u5546\u7684\u5173\u7cfb\uff1a sinα/cosα=tanα=secα/cscα\u3001cosα/sinα=cotα=cscα/secα\uff1b
\u548c\u7684\u5173\u7cfb\uff1asin²α+cos²α=1\u30011+tan²α=sec²α\u30011+cot²α=csc²α\uff1b
\u5e73\u65b9\u5173\u7cfb\uff1asin²α+cos²α=1\u3002
sin1=0.8414709848079 \u5f27\u5ea6\u5236
sin1º=0.01745 \u89d2\u5ea6\u5236
\u2235tan108º0 \u7b2c\u4e8c\u8c61\u9650\u7684\u6b63\u5207\u4e3a\uff0c\u7b2c\u56db\u8c61\u9650\u7684\u4f59\u5f26\u4e3a\u6b63
\u2234tan108º/cos305º<0
注意1是弧度制还是角度制…角度制直接计算器，而且约等于tan1，弧度制即等于角度制下sin(360／π)
sin(1) = 0.8414709848079
sin1=sin(180*1/pi)=sin(57.30~)=0.8415
用泰勒公式将sinx展开至x三次方项：
sin x=1-x立方/6+o（x立方），
当x=1是，sinx=5/6
sin(1) = 0.8414709848079
绛旓細濡傛灉纭畾鏄痵in1,閭ｅ氨鏄痵in1寮у害,閭ｄ箞: sin1=sin57.2958掳=0.84147銆傚湪鐩磋涓夎褰腑锛屸垹A闈炵洿瑙掔殑瀵硅竟涓庢枩杈圭殑姣斿彨鍋氣垹A鐨勬寮︼紝鏁呰浣渟inA锛屽嵆sinA=鈭燗鐨勫杈规垨鈭燗鐨勬枩杈广傚彜浠ｈ娉曪紝姝ｅ鸡鏄偂涓庡鸡鐨勬瘮渚嬨傚彜浠ｈ鐨勫嬀涓夎偂锛屽洓寮︿簲涓殑寮︼紝灏辨槸鐩磋涓夎褰腑鐨勬枩杈广 鑲″氨鏄汉鐨勫ぇ鑵匡紝闀块暱鐨...
绛旓細Sin1=Sin锛180掳/蟺锛= 0.8414709848079
绛旓細sin1绾绛変簬0.5772銆傛垜浠煡閬擄紝涓夎鍑芥暟涓殑姝ｅ鸡鍑芥暟鐢ㄤ簬璁＄畻涓涓鐨勫杈归暱搴︿笌鏂滆竟闀垮害鐨勬瘮鍊笺傝繖閲岋紝褰撹搴︿负寮у害鍒朵笅鐨1鏃讹紝姝ｅ鸡鍊艰〃绀哄湪鍗曚綅鍦嗕笂锛屼笌x杞存鏂瑰悜澶硅涓1鏃剁殑鐐圭殑y鍧愭爣鍊笺傚湪鏁板涓紝杩欎釜鍊鏄閫氳繃鏃犵┓绾ф暟鎴栬呮嘲鍕掔骇鏁拌繎浼艰绠楀緱鍒扮殑銆傚叾鍑嗙‘鍊间负鏃犵┓灏忓垎鏁伴噺寰楀埌鐨勬诲拰鐨勬瀬闄愬笺傛牴鎹...
绛旓細濡傛灉纭畾鏄痵in1,閭ｅ氨鏄痵in1寮у害,閭ｄ箞: sin1=sin57.2958掳=0.84147銆傚湪鐩磋涓夎褰腑锛屸垹A锛堥潪鐩磋锛夌殑瀵硅竟涓庢枩杈圭殑姣斿彨鍋氣垹A鐨勬寮︼紝鏁呰浣渟inA锛屽嵆sinA=鈭燗鐨勫杈/鈭燗鐨勬枩杈 鍙や唬璇存硶锛屾寮︽槸鑲′笌寮︾殑姣斾緥銆傚彜浠ｈ鐨勨滃嬀涓夎偂锛屽洓寮︿簲鈥濅腑鐨勨滃鸡鈥濓紝灏辨槸鐩磋涓夎褰腑鐨勬枩杈广 鑲″氨鏄汉鐨...
绛旓細瑕佺湅浣犵殑1 鏄瑙掑害杩樻槸寮у害鍟婏紵濡傛灉鏄搴sin1藱=0.017452406437283512819418978516316鈥︹﹀鏋滄槸寮у害sin1=sin锛1/鈭*180藱锛=0.8414709848078965066525023216303鈥︹
绛旓細褰撴垜浠皥璁簊in1鐨勫兼椂锛岀瓟妗堟槸鏄庣‘鐨勶細鍦ㄥ姬搴﹀埗涓紝sin1绛変簬0.841470984銆傚鏋滄崲绠楀埌瑙掑害鍒讹紝sin1掳鐨勫间负0.01745銆傚姬搴﹀埗鏄竴绉嶅害閲忓渾蹇冭鐨勬柟寮忥紝瀹冩槸閫氳繃娴嬮噺鍦嗗姬闀垮害涓庡崐寰勭殑姣斾緥鏉ョ‘瀹氱殑锛岃繖绉嶅害閲忔柟寮忕嫭绔嬩簬鍦嗙殑澶у皬锛屽洜姝ゆ槸涓涓亽瀹氱殑閲忋備笌涔嬬浉瀵圭殑鏄搴﹀埗锛屽叾涓1搴﹁瀹氫箟涓哄懆瑙掔殑1/360锛...
绛旓細1琛ㄧず鐨鏄寮у害锛岃〃绀轰竴搴︼紝蟺=180搴︼紝1寮у害=180/蟺銆傛墍浠sin1=sin(180/蟺 ) 锛沜os1=cos(180/蟺銆傚湪鏁板鍜岀墿鐞嗕腑锛屽姬搴︽槸瑙掔殑搴﹂噺鍗曚綅銆傚畠鏄敱鍥介檯鍗曚綅鍒跺鍑虹殑鍗曚綅锛屽崟浣嶇缉鍐欐槸rad銆傚畾涔夛細寮ч暱绛変簬鍗婂緞鐨勫姬锛屽叾鎵瀵圭殑鍦嗗績瑙掍负1寮у害銆(鍗充袱鏉″皠绾夸粠鍦嗗績鍚戝渾鍛ㄥ皠鍑猴紝褰㈡垚涓涓す瑙掑拰澶硅姝ｅ鐨勪竴...
绛旓細sin1鐨勬暟鍊煎湪涓嶅悓鐨勫害閲忓崟浣嶄笅鏈夋墍宸紓銆傚湪寮у害鍒朵腑锛sin1绛変簬0.8414709848079锛岃繖鏄竴涓簿纭殑鏁板笺傝浆鎹㈠埌瑙掑害鍒讹紝sin1搴﹀ぇ绾︾瓑浜0.01745銆傚浜庝笁瑙掑嚱鏁扮殑鎬ц川锛屽綋鎴戜滑鑰冭檻tan108搴﹀皬浜0锛岃宑os305搴﹀ぇ浜0鐨勬儏鍐垫椂锛屽彲浠ユ帹鏂嚭涓浜涜薄闄愮殑姝ｅ垏鍜屼綑寮﹀肩殑鐗瑰緛銆傚湪绗簩璞￠檺锛屾鍒囧间负璐燂紝鑰屽湪绗洓璞￠檺...
绛旓細sin1=sin57.30`=0.8415 杩欓噷鐨勨1鈥濇槸鈥1寮у害鈥濓紝涓庘溌扳濈殑鎹㈢畻鏄細蟺=180掳 cos1=cos57.30`=鏍瑰彿锛1-sin57.30`锛==鏍瑰彿锛1-0.8415锛夋垨锛氳繖閲岀殑1鏄寮у害 濡傛灉鏄1掳鐨勮瘽灏辨槸sin1掳 鍥犱负蟺=180掳 鎵浠1=180掳/蟺=57.30掳 鐒跺悗鍐嶈绠楁寮﹀拰浣欏鸡 ...
绛旓細sin57.2958掳绛変簬1銆俿in1=sin57.2958掳=0.84147锛宻in1涓簊in1寮у害锛屽鏋滄槸sin1搴︼紝閭ｄ箞sin1掳=0.01745銆傚彟澶杝in1涓殑1鏄姬搴﹀埗鐨1锛1寮у害绛変簬53搴︼紝53搴︿笉鏄壒娈婅锛屾墍浠ユ棤娉曟崲绠楋紝鍥犳sin1灏辩瓑浜巗in1锛岃宎rcsin1绛変簬90搴︼紝鑰屼笁瑙掑嚱鏁颁负鍩烘湰鍒濈瓑鍑芥暟涔嬩竴锛屾槸浠ヨ搴︿负鑷彉閲忥紝瑙掑害鎵瀵瑰簲浠绘剰瑙掔殑...
