Таблица тангенсов

ОПРЕДЕЛЕНИЕ

Тангенс - тригонометрическая функция, равная отношению синуса к косинусу.

При решении математических задач различного характера, а также в задачах физики часто требуются тангенциальные значения разных углов. Таблица содержит рассчитанные значения касательных углов от 1 ° до 360 °. Чтобы найти значение касательной нужного угла, просто найдите его в таблице.

Подробная таблица касательных

\(\ \begin{array}{|c|c|c|c|c|c|c|c|} \hline Угол&tg&Угол&tg& Угол & tg & Угол & tg \\ \hline 1^{\circ} &0.0174&46^{\circ} &1.0355&91^{\circ} &-57.29&136^{\circ} &-0.9657\\ \hline 2^{\circ} &0.0349&47^{\circ} &1.0724&92^{\circ} &-28.6363&137^{\circ}&-0.9325\\ \hline 3^{\circ} &0.0524&48^{\circ} &1.1106&93^{\circ} &-19.0811&138^{\circ} &-0.9004\\ \hline 4^{\circ} &0.0699&49^{\circ} &1.1504&94^{\circ} &-14.3007&139^{\circ} &-0.8693\\ \hline 5^{\circ} &0.0874&50^{\circ} &1.1918&95^{\circ} &-11.4301&140^{\circ}&-0.8390\\ \hline 6^{\circ} &0.1051&51^{\circ} &1.2349&96^{\circ} &-9.5144&141^{\circ} &-0.8098\\\hline 7^{\circ} &0.1227&52^{\circ} &1.2799&97^{\circ} &-8.1443&142^{\circ} &-0.7813\\ \hline 8^{\circ} &0.1405&53^{\circ} &1.327&98^{\circ} &-7.1154&143^{\circ} &-0.7535\\ \hline 9^{\circ} &0.1583&54^{\circ} &1.3764&99^{\circ} &-6.3138&144^{\circ} &-0.7265\\ \hline 10^{\circ} &0.1763&55^{\circ} &1.4281&100^{\circ} &-5.6713&145^{\circ}&-0.7002\\ \hline 11^{\circ} &0.1943&56^{\circ} &1.4826&101^{\circ} &-5.1446&146^{\circ} &-0.6745\\ \hline 12^{\circ} &0.2125&57^{\circ} &1.5399&102^{\circ} &-4.7046&147^{\circ} &-0.6494\\ \hline 13^{\circ} &0.2308&58^{\circ} &1.6003&103^{\circ} &-4.3315&148^{\circ} &-0.6249\\ \hline 14^{\circ} &0.2493&59^{\circ} &1.6643&104^{\circ} &-4.0108&149^{\circ} &-0.6009\\ \hline 15^{\circ} &0.2679&60^{\circ} &1.7321&105^{\circ} &-3.732&150^{\circ} &-0.5774\\ \hline 16^{\circ} &0.2867&61^{\circ} &1.804&106^{\circ} &-3.4874&151^{\circ} &-0.5543\\ \hline 17^{\circ} &0.3057&62^{\circ} &1.8807&107^{\circ} &-3.2709&152^{\circ} &-0.5317\\ \hline 18^{\circ} &0.3249&63^{\circ} &1.9626&108^{\circ} &-3.0777&153^{\circ} &-0.5095\\ \hline 19^{\circ} &0.3443&64^{\circ} &2.0503&109^{\circ} &-2.9042&154^{\circ} &-0.4877\\ \hline 20^{\circ} &0.364&65^{\circ} &2.1445&110^{\circ} &-2.7475&155^{\circ}&-0.4663\\ \hline 21^{\circ} &0.3839&66^{\circ} &2.2460&111^{\circ} &-2.605&156^{\circ} &-.4452\\ \hline 22^{\circ} &0.404&67^{\circ} &2.3559&112^{\circ} &-2.475&157^{\circ} &-0.4245\\ \hline 23^{\circ} &0.4245&68^{\circ} &2.475&113^{\circ} &-2.3559&158^{\circ}&-0.404\\ \hline 24^{\circ} &0.4452&69^{\circ} &2.605&114^{\circ} &-2.2460&159^{\circ}&-0.3839\\ \hline 25^{\circ} &0.4663&70^{\circ} &2.7475&115^{\circ} &-2.1445&160^{\circ}&-0.364\\ \hline 26^{\circ} &0.4877&71^{\circ} &2.9042&116^{\circ} &-2.0503&161^{\circ}&-0.3443\\ \hline 27^{\circ} &0.5095&72^{\circ} &3.0777&117^{\circ} &-1.9626&162^{\circ}& -0.3249\\ \hline 28^{\circ} &0.5317&73^{\circ} &3.2709&118^{\circ} &-1.8807&163^{\circ} &-0.3057\\ \hline 29^{\circ} &0.5543 &74^{\circ} &3.4874&119^{\circ} &-1.804&164^{\circ}& -0.2867\\ \hline 30^{\circ} &0.5774&75^{\circ} &3.732&120^{\circ} &-1.7321&165^{\circ} &-0.2679\\ \hline 31^{\circ} &0.6009&76^{\circ} &4.0108&121^{\circ} &-1.6643&166^{\circ}& -0.2493\\ \hline 32^{\circ} &0.6249&77^{\circ} &4.3315&122^{\circ} &-1.6003&167^{\circ}& -0.2308\\ \hline 33^{\circ} &0.6494&78^{\circ} &4.7046&123^{\circ} &-1.5399&168^{\circ}&-0.2125\\ \hline 34^{\circ} &0.6745&79^{\circ} &5.1446&124^{\circ} &-1.4826&169^{\circ}& -0.1943\\ \hline 35^{\circ} &0.7002&80^{\circ} &5.6713&125^{\circ} &-1.4281&170^{\circ} &-0.1763\\ \hline 36^{\circ} &0.7265&81^{\circ} &6.3138&126^{\circ} &-1.3764&171^{\circ} &-0.1583\\ \hline 37^{\circ} &0.7535&82^{\circ} &7.1154&127^{\circ} &-1.327&172^{\circ} &-0.1405\\ \hline 38^{\circ} &0.7813&83^{\circ} &8.1443&128^{\circ} &-1.2799&173^{\circ}& -0.1227\\ \hline 39^{\circ} &0.8098&84^{\circ} &9.5144&129^{\circ} &-1.2349&174^{\circ} &-0.1051\\ \hline 40^{\circ} &0.8390&85^{\circ} &11.4301&130^{\circ} &-1.1918&175^{\circ}& -0.0874\\ \hline 41^{\circ} &0.8693&86^{\circ} &14.3007&131^{\circ} &-1.1504&176^{\circ} &-0.0699\\ \hline 42^{\circ} &0.9004&87^{\circ} &19.0811&132^{\circ} &-1.1106&177^{\circ}& -0.0524\\ \hline 43^{\circ} &0.9325&88^{\circ} &28.6363&133^{\circ} &-1.0724&178^{\circ} &-0.0349\\ \hline 44^{\circ} &0.9657&89^{\circ} &57.29&134^{\circ} &-1.0355&179^{\circ} &-0.0174\\ \hline 45^{\circ} &1 &90^{\circ} &не определен&135^{\circ} &-1 &180^{\circ}& 0\\ \hline \end{array} \)

\(\ \begin{array}{|c|c|c|c|c|c|c|c|} \hline Угол&tg&Угол&tg& Угол & tg & Угол & tg \\ \hline 181^{\circ} &0.0174&226^{\circ} &1.0355&271^{\circ} &-57.29&316^{\circ} &-0.9657\\ \hline 182^{\circ} &0.0349&227^{\circ} &1.0724&272^{\circ} &-28.6363&317^{\circ}&-0.9325\\ \hline 183^{\circ} &0.0524&228^{\circ} &1.1106&273^{\circ} &-19.0811&1318^{\circ} &-0.9004\\ \hline 184^{\circ} &0.0699&229^{\circ} &1.1504&274^{\circ} &-14.3007&319^{\circ} &-0.8693\\ \hline 185^{\circ} &0.0874&230^{\circ} &1.1918&275^{\circ} &-11.4301&320^{\circ}&-0.8390\\ \hline 186^{\circ} &0.1051&231^{\circ} &1.2349&276^{\circ} &-9.5144&321^{\circ} &-0.8098\\\hline 187^{\circ} &0.1227&232^{\circ} &1.2799&277^{\circ} &-8.1443&322^{\circ} &-0.7813\\ \hline 188^{\circ} &0.1405&233^{\circ} &1.327&278^{\circ} &-7.1154&323^{\circ} &-0.7535\\ \hline 189^{\circ} &0.1583&234^{\circ} &1.3764&279^{\circ} &-6.3138&324^{\circ} &-0.7265\\ \hline 190^{\circ} &0.1763&235^{\circ} &1.4281&280^{\circ} &-5.6713&325^{\circ}&-0.7002\\ \hline 191^{\circ} &0.1943&236^{\circ} &1.4826&281^{\circ} &-5.1446&326^{\circ} &-0.6745\\ \hline 192^{\circ} &0.2125&237^{\circ} &1.5399&282^{\circ} &-4.7046&327^{\circ} &-0.6494\\ \hline 193^{\circ} &0.2308&238^{\circ} &1.6003&283^{\circ} &-4.3315&328^{\circ} &-0.6249\\ \hline 194^{\circ} &0.2493&239^{\circ} &1.6643&284^{\circ} &-4.0108&329^{\circ} &-0.6009\\ \hline 195^{\circ} &0.2679&240^{\circ} &1.7321&285^{\circ} &-3.732&330^{\circ} &-0.5774\\ \hline 196^{\circ} &0.2867&241^{\circ} &1.804&286^{\circ} &-3.4874&331^{\circ} &-0.5543\\ \hline 197^{\circ} &0.3057&242^{\circ} &1.8807&287^{\circ} &-3.2709&332^{\circ} &-0.5317\\ \hline 198^{\circ} &0.3249&243^{\circ} &1.9626&288^{\circ} &-3.0777&333^{\circ} &-0.5095\\ \hline 199^{\circ} &0.3443&244^{\circ} &2.0503&289^{\circ} &-2.9042&334^{\circ} &-0.4877\\ \hline 200^{\circ} &0.364&245^{\circ} &2.1445&290^{\circ} &-2.7475&335^{\circ}&-0.4663\\ \hline 201^{\circ} &0.3839&246^{\circ} &2.2460&291^{\circ} &-2.605&336^{\circ} &-.4452\\ \hline 202^{\circ} &0.404&247^{\circ} &2.3559&292^{\circ} &-2.475&337^{\circ} &-0.4245\\ \hline 203^{\circ} &0.4245&248^{\circ} &2.475&293^{\circ} &-2.3559&338^{\circ}&-0.404\\ \hline 204^{\circ} &0.4452&249^{\circ} &2.605&294^{\circ} &-2.2460&339^{\circ}&-0.3839\\ \hline 205^{\circ} &0.4663&250^{\circ} &2.7475&295^{\circ} &-2.1445&340^{\circ}&-0.364\\ \hline 206^{\circ} &0.4877&251^{\circ} &2.9042&296^{\circ} &-2.0503&341^{\circ}&-0.3443\\ \hline 207^{\circ} &0.5095&252^{\circ} &3.0777&297^{\circ} &-1.9626&342^{\circ}& -0.3249\\ \hline 208^{\circ} &0.5317&253^{\circ} &3.2709&298^{\circ} &-1.8807&343^{\circ} &-0.3057\\ \hline 209^{\circ} &0.5543 &254^{\circ} &3.4874&299^{\circ} &-1.804&344^{\circ}& -0.2867\\ \hline 210-^{\circ} &0.5774&255^{\circ} &3.732&300^{\circ} &-1.7321&345^{\circ} &-0.2679\\ \hline 211^{\circ} &0.6009&256^{\circ} &4.0108&301^{\circ} &-1.6643&346^{\circ}& -0.2493\\ \hline 212^{\circ} &0.6249&257^{\circ} &4.3315&302^{\circ} &-1.6003&347^{\circ}& -0.2308\\ \hline 213^{\circ} &0.6494&258^{\circ} &4.7046&303^{\circ} &-1.5399&348^{\circ}&-0.2125\\ \hline 214^{\circ} &0.6745&259^{\circ} &5.1446&304^{\circ} &-1.4826&349^{\circ}& -0.1943\\ \hline 215^{\circ} &0.7002&260^{\circ} &5.6713&305^{\circ} &-1.4281&350^{\circ} &-0.1763\\ \hline 216^{\circ} &0.7265&261^{\circ} &6.3138&306^{\circ} &-1.3764&351^{\circ} &-0.1583\\ \hline 217^{\circ} &0.7535&262^{\circ} &7.1154&307^{\circ} &-1.327&352^{\circ} &-0.1405\\ \hline 218^{\circ} &0.7813&263^{\circ} &8.1443&308^{\circ} &-1.2799&353^{\circ}& -0.1227\\ \hline 219^{\circ} &0.8098&264^{\circ} &9.5144&309^{\circ} &-1.2349&354^{\circ} &-0.1051\\ \hline 220^{\circ} &0.8390&265^{\circ} &11.4301&310^{\circ} &-1.1918&355^{\circ}& -0.0874\\ \hline 221^{\circ} &0.8693&266^{\circ} &14.3007&311^{\circ} &-1.1504&356^{\circ} &-0.0699\\ \hline 222^{\circ} &0.9004&267^{\circ} &19.0811&312^{\circ} &-1.1106&357^{\circ}& -0.0524\\ \hline 223^{\circ} &0.9325&268^{\circ} &28.6363&313^{\circ} &-1.0724&358^{\circ} &-0.0349\\ \hline 224^{\circ} &0.9657&269^{\circ} &57.29&314^{\circ} &-1.0355&359^{\circ} &-0.0174\\ \hline 225^{\circ} &1 &270^{\circ} &не определен&315^{\circ} &-1 &360^{\circ}& 0\\ \hline \end{array} \)

Примеры решения проблем

ПРИМЕР 1