tan(a-b)=?
tan(a+b)\u4e24\u89d2\u548c\u7684\u4e09\u89d2\u51fd\u6570\u516c\u5f0f\uff1a
tan (a+b) = ( tan a + tan b ) /\uff081 - tan a * tan b)
\u4ee5\u4e0a\u662f\u5176\u4e2d\u4e4b\u4e00\u3002
\u5176\u4ed6\u8fd8\u6709\uff1a
sin(a+b) = sina cos b + cosa sinb
cos(a+b) = cosa cosb - cosa cosb
60
\u56db\u8fb9\u5f62\u5185\u89d2\u548c\u4e3a360
\u53c8
\u2220bdc(\u5de6\u8fb9)+\u2220bdc(\u53f3\u8fb9)=360
\u6240\u4ee5\uff1a\u2235\u2220a+\u2220b+\u2220c=\u2220bdc(\u5de6\u8fb9
\u7b2c\u4e8c\u8bc1\u660e\u9898\u76ee\u6ca1\u8bf4\u6e05\u695a
\u8bf4\u6e05\u695a\u70b9\u518d\u8bc1\u660e
tan(α-β)=(tanα-tanβ)/(1+tanα·tanβ)
绛旓細tana=-tan(-a)鎴栬 tan(a-b)=(tana-tanb)/(1+tanatanb)tan(b-a)=(tanb-tana)/(1+tanatanb)鎵浠an(a-b)=-tan(b-a)鎵浠ョ敱tan(A-B)=-2/3寰楀嚭tan(B-A锛=2/3
绛旓細鎴戣涓鸿繖閬撻鏈夌偣闅惧害瑕佺敤绉寲鍜屽樊 鍜屽拰宸寲绉 鏄撳皢鍘熷紡鍖栦负(2cos^2(A-B)锛2-1)cos(A-B)锛2=2sin(A+B)锛2cos^2(A-B)锛2鏁寸悊寰楀埌cos(A-B)锛2sin(A锛2)sin(B锛2)=1锛4绉寲鍜屽樊寰楀埌1锛4sinAsinB+sin^2(A锛2)sin^2(B锛2)=1锛4 鍗1锛4sinAsinB+1锛4-1锛4cosA...
绛旓細tan(伪-尾)=(tan伪-tan尾)/(1+tan伪tan尾)=5 tan尾=2浠ｅ叆寰 (tan伪-2)/(1+2tan伪)=5 5+10tan伪=tan伪-2 9tan伪=-7 tan伪=-7/9
绛旓細tan锛埼+尾锛夋槸涓夎鍑芥暟涓殑姝ｅ垏鍏紡锛屽叕寮弔an锛坅+尾锛=锛坱ana+tan尾锛/锛1-tanatan尾锛夈傝В鏋愶細tan锛坅+b锛=sin锛坅+b锛/cos锛坅+b锛=[sinacosb+cosasinb]/[cosacosb-sinasinb]锛堝垎鏁扮嚎涓婁笅鍚岄櫎cosacosb锛夆斺斿氨寰楀嚭=锛坱ana+tanb锛/锛1-tanatanb锛夈倀an涓鑸寚姝ｅ垏銆tan锛坅-b锛鍏紡涓簍an...
绛旓細鍙互璁＄畻tan(2a-2b)=4/3 tan(2a -b) = 1 鐒跺悗瑕佷及绠2a-b鐨勮寖鍥淬傛牴鎹産鐨勬鍒囷紝瀹规槗鐭ラ亾b灞炰簬锛-pai/4,0锛夌劧鍚庡啀鏍规嵁a-b鐨勬鍒囷紝鐢变簬1/2>1/7,鎵浠<b锛岄偅涔堢煡閬揳-b鑲畾鏄湪绗笁璞￠檺鐨勮锛屽垯鐭ラ亾a灞炰簬锛-180掳锛-135掳锛夐偅涔堝氨鑾峰緱2a-b鐨勮寖鍥存槸锛-360掳锛-225掳锛夎繖涓寖鍥村唴涓...
绛旓細鏈夊叧 tanA 璇卞鍏紡 tan(2k蟺+伪)=tan 伪 tan(蟺/2-伪)=cot 伪 tan(蟺/2+伪)=-cot 伪 tan(蟺+伪)=tan 伪 tan(蟺-伪)=-tan 伪 涓よ鍜屽樊鍏紡 tan(伪+尾)=(tan伪+tan尾)/(1-tan伪路tan尾)tan(伪-尾)=(tan伪-tan尾)/(1+tan伪路tan尾)tg(a+b+c)=tg伪+tgb+tgc-tg...
绛旓細tan鐨勬墍鏈夊叕寮忔湁锛氬崐瑙掑叕寮忋tan(伪锛2)=sin伪锛忥紙1+cos伪锛夛紳(1-cos伪锛夛紡sin伪銆傚嶈鍏紡銆倀an2伪锛濓紙2tan伪锛夛紡(1-tan伪锛2)銆傞檷骞傚叕寮忋倀an^2(伪锛夛紳(1-cos(2伪锛/(1+cos(2伪锛夈備竾鑳藉叕寮忋倀an伪锛2tan(伪锛2)/銆備袱瑙掑拰涓庡樊鍏紡銆倀an(伪锛嬑诧級锛(tan伪锛媡an尾锛夛紡(1-tan...
绛旓細tan锛埼甭蔽诧級鐨勬帹瀵兼槸鍩轰簬涓夎鍑芥暟鐨勫姞娉曞畾鐞嗐備笁瑙掑嚱鏁扮殑鍔犳硶瀹氱悊鏄弿杩颁袱涓搴︾殑姝ｅ垏鍊间箣闂寸殑鍏崇郴锛屽嵆tan锛埼甭蔽诧級鍙互琛ㄧず涓簍an伪鍜宼an尾鐨勫嚱鏁般傛帹瀵煎涓嬶細1銆侀鍏堬紝tan锛埼甭蔽诧級鍙互鍒嗚В涓轰袱閮ㄥ垎锛歵an伪鍜宼an尾銆傛牴鎹笁瑙掑嚱鏁扮殑鎬ц川锛屾垜浠煡閬搕an锛坅卤b锛=tan锛坅卤b/2锛壜眛an锛坅卤b/2...
绛旓細tanb=sinb/cosb 涓夎鍑芥暟甯哥敤姝ｅ垏鍏紡 1銆乼anb=sinb/cosb 2銆tan(a+b)=(tana+tanb)/(1-tana*tanb)娉細鑻ユ槸a-b锛屽垯鎶婂悗闈㈢殑鍔犲噺閮芥崲涓涓嬨3銆1/tanb=cotb锛堣繖涓叕寮忎笉甯哥敤锛屽伓灏旂敤涔熺粡甯稿啓鎴愭鍒囩殑鍊掓暟鐨勫舰寮忥級4銆tanB=q锛堝父鏁帮級鍒欒B=acttan(q)锛岃繖鏄弽鍑芥暟鐨勫叕寮忋備笁瑙掑嚱鏁 涓夎鍑芥暟鏄...
绛旓細tan锛坅+b锛夌殑鍏紡锛tan(a+b) = (tana+tanb)/(1-tana tanb)銆傚湪Rt鈻矨BC锛堢洿瑙掍笁瑙掑舰锛変腑锛屸垹C=90掳锛孉B鏄垹C鐨勫杈筩锛孊C鏄垹A鐨勫杈筧锛孉C鏄垹B鐨勫杈筨锛屾鍒囧嚱鏁tanB=b/a銆傚湪Rt鈻矨BC涓紝濡傛灉閿愯A纭畾锛岄偅涔堣A鐨勫杈逛笌閭昏竟鐨勬瘮鍊奸殢涔嬬‘瀹氾紝杩欎釜姣斿彨鍋氳A鐨勬鍒囷紝璁颁綔tanA銆
