\n\n| 1<\/td>\n | 0.01745240643728351<\/td>\n<\/tr>\n |
\n| 2<\/td>\n | 0.03489949670250097<\/td>\n<\/tr>\n |
\n| 3<\/td>\n | 0.05233595624294383<\/td>\n<\/tr>\n |
\n| 4<\/td>\n | 0.0697564737441253<\/td>\n<\/tr>\n |
\n| 5<\/td>\n | 0.08715574274765816<\/td>\n<\/tr>\n |
\n| 6<\/td>\n | 0.10452846326765346<\/td>\n<\/tr>\n |
\n| 7<\/td>\n | 0.12186934340514747<\/td>\n<\/tr>\n |
\n| 8<\/td>\n | 0.13917310096006544<\/td>\n<\/tr>\n |
\n| 9<\/td>\n | 0.15643446504023087<\/td>\n<\/tr>\n |
\n| 10<\/td>\n | 0.17364817766693033<\/td>\n<\/tr>\n |
\n| 11<\/td>\n | 0.1908089953765448<\/td>\n<\/tr>\n |
\n| 12<\/td>\n | 0.20791169081775931<\/td>\n<\/tr>\n |
\n| 13<\/td>\n | 0.22495105434386497<\/td>\n<\/tr>\n |
\n| 14<\/td>\n | 0.24192189559966773<\/td>\n<\/tr>\n |
\n| 15<\/td>\n | 0.25881904510252074<\/td>\n<\/tr>\n |
\n| 16<\/td>\n | 0.27563735581699916<\/td>\n<\/tr>\n |
\n| 17<\/td>\n | 0.2923717047227367<\/td>\n<\/tr>\n |
\n| 18<\/td>\n | 0.3090169943749474<\/td>\n<\/tr>\n |
\n| 19<\/td>\n | 0.3255681544571567<\/td>\n<\/tr>\n |
\n| 20<\/td>\n | 0.3420201433256687<\/td>\n<\/tr>\n |
\n| 21<\/td>\n | 0.35836794954530027<\/td>\n<\/tr>\n |
\n| 22<\/td>\n | 0.374606593415912<\/td>\n<\/tr>\n |
\n| 23<\/td>\n | 0.3907311284892737<\/td>\n<\/tr>\n |
\n| 24<\/td>\n | 0.40673664307580015<\/td>\n<\/tr>\n |
\n| 25<\/td>\n | 0.42261826174069944<\/td>\n<\/tr>\n |
\n| 26<\/td>\n | 0.4383711467890774<\/td>\n<\/tr>\n |
\n| 27<\/td>\n | 0.45399049973954675<\/td>\n<\/tr>\n |
\n| 28<\/td>\n | 0.4694715627858908<\/td>\n<\/tr>\n |
\n| 29<\/td>\n | 0.48480962024633706<\/td>\n<\/tr>\n |
\n| 30<\/td>\n | 0.49999999999999994<\/td>\n<\/tr>\n |
\n| 31<\/td>\n | 0.5150380749100542<\/td>\n<\/tr>\n |
\n| 32<\/td>\n | 0.5299192642332049<\/td>\n<\/tr>\n |
\n| 33<\/td>\n | 0.544639035015027<\/td>\n<\/tr>\n |
\n| 34<\/td>\n | 0.5591929034707468<\/td>\n<\/tr>\n |
\n| 35<\/td>\n | 0.573576436351046<\/td>\n<\/tr>\n |
\n| 36<\/td>\n | 0.5877852522924731<\/td>\n<\/tr>\n |
\n| 37<\/td>\n | 0.6018150231520483<\/td>\n<\/tr>\n |
\n| 38<\/td>\n | 0.6156614753256583<\/td>\n<\/tr>\n |
\n| 39<\/td>\n | 0.6293203910498375<\/td>\n<\/tr>\n |
\n| 40<\/td>\n | 0.6427876096865392<\/td>\n<\/tr>\n |
\n| 41<\/td>\n | 0.6560590289905073<\/td>\n<\/tr>\n |
\n| 42<\/td>\n | 0.6691306063588582<\/td>\n<\/tr>\n |
\n| 43<\/td>\n | 0.6819983600624985<\/td>\n<\/tr>\n |
\n| 44<\/td>\n | 0.6946583704589972<\/td>\n<\/tr>\n |
\n| 45<\/td>\n | 0.7071067811865475<\/td>\n<\/tr>\n |
\n| 46<\/td>\n | 0.7193398003386511<\/td>\n<\/tr>\n |
\n| 47<\/td>\n | 0.7313537016191705<\/td>\n<\/tr>\n |
\n| 48<\/td>\n | 0.7431448254773941<\/td>\n<\/tr>\n |
\n| 49<\/td>\n | 0.7547095802227719<\/td>\n<\/tr>\n |
\n| 50<\/td>\n | 0.766044443118978<\/td>\n<\/tr>\n |
\n| 51<\/td>\n | 0.7771459614569708<\/td>\n<\/tr>\n |
\n| 52<\/td>\n | 0.7880107536067219<\/td>\n<\/tr>\n |
\n| 53<\/td>\n | 0.7986355100472928<\/td>\n<\/tr>\n |
\n| 54<\/td>\n | 0.8090169943749474<\/td>\n<\/tr>\n |
\n| 55<\/td>\n | 0.8191520442889918<\/td>\n<\/tr>\n |
\n| 56<\/td>\n | 0.8290375725550417<\/td>\n<\/tr>\n |
\n| 57<\/td>\n | 0.8386705679454239<\/td>\n<\/tr>\n |
\n| 58<\/td>\n | 0.848048096156426<\/td>\n<\/tr>\n |
\n| 59<\/td>\n | 0.8571673007021122<\/td>\n<\/tr>\n |
\n| 60<\/td>\n | 0.8660254037844386<\/td>\n<\/tr>\n |
\n| 61<\/td>\n | 0.8746197071393957<\/td>\n<\/tr>\n |
\n| 62<\/td>\n | 0.8829475928589269<\/td>\n<\/tr>\n |
\n| 63<\/td>\n | 0.8910065241883678<\/td>\n<\/tr>\n |
\n| 64<\/td>\n | 0.898794046299167<\/td>\n<\/tr>\n |
\n| 65<\/td>\n | 0.9063077870366499<\/td>\n<\/tr>\n |
\n| 66<\/td>\n | 0.9135454576426009<\/td>\n<\/tr>\n |
\n| 67<\/td>\n | 0.9205048534524404<\/td>\n<\/tr>\n |
\n| 68<\/td>\n | 0.9271838545667873<\/td>\n<\/tr>\n |
\n| 69<\/td>\n | 0.9335804264972017<\/td>\n<\/tr>\n |
\n| 70<\/td>\n | 0.9396926207859083<\/td>\n<\/tr>\n |
\n| 71<\/td>\n | 0.9455185755993167<\/td>\n<\/tr>\n |
\n| 72<\/td>\n | 0.9510565162951535<\/td>\n<\/tr>\n |
\n| 73<\/td>\n | 0.9563047559630354<\/td>\n<\/tr>\n |
\n| 74<\/td>\n | 0.9612616959383189<\/td>\n<\/tr>\n |
\n| 75<\/td>\n | 0.9659258262890683<\/td>\n<\/tr>\n |
\n| 76<\/td>\n | 0.9702957262759965<\/td>\n<\/tr>\n |
\n| 77<\/td>\n | 0.9743700647852352<\/td>\n<\/tr>\n |
\n| 78<\/td>\n | 0.9781476007338057<\/td>\n<\/tr>\n |
\n| 79<\/td>\n | 0.981627183447664<\/td>\n<\/tr>\n |
\n| 80<\/td>\n | 0.984807753012208<\/td>\n<\/tr>\n |
\n| 81<\/td>\n | 0.9876883405951378<\/td>\n<\/tr>\n |
\n| 82<\/td>\n | 0.9902680687415704<\/td>\n<\/tr>\n |
\n| 83<\/td>\n | 0.992546151641322<\/td>\n<\/tr>\n |
\n| 84<\/td>\n | 0.9945218953682733<\/td>\n<\/tr>\n |
\n| 85<\/td>\n | 0.9961946980917455<\/td>\n<\/tr>\n |
\n| 86<\/td>\n | 0.9975640502598242<\/td>\n<\/tr>\n |
\n| 87<\/td>\n | 0.9986295347545738<\/td>\n<\/tr>\n |
\n| 88<\/td>\n | 0.9993908270190958<\/td>\n<\/tr>\n |
\n| 89<\/td>\n | 0.9998476951563913<\/td>\n<\/tr>\n |
\n| 90<\/td>\n | 1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n Diese Werte werden mithilfe g\u00e4ngiger mathematischer Bibliotheken pr\u00e4zise berechnet. Beispielsweise ist sin(30\u00b0) \u2248 0,5, ideal f\u00fcr 30-60-90-Dreiecksberechnungen im Zahnraddesign.<\/p>\n Kosinusfunktionstabelle<\/h2>\nDer Kosinus ist das Verh\u00e4ltnis von Ankathete zu Hypotenuse und nimmt von 1 bei 0\u00b0 auf 0 bei 90\u00b0 ab. Er ist entscheidend f\u00fcr die Berechnung der horizontalen Komponente von Kraftvektoren oder f\u00fcr die Wurfparabel in mechanischen Systemen.<\/p>\n \n \n\n\n| Winkel (\u00b0)<\/th>\n | Kosinuswert<\/th>\n<\/tr>\n<\/thead>\n | \n\n| 1<\/td>\n | 0.9998476951563913<\/td>\n<\/tr>\n | \n| 2<\/td>\n | 0.9993908270190958<\/td>\n<\/tr>\n | \n| 3<\/td>\n | 0.9986295347545738<\/td>\n<\/tr>\n | \n| 4<\/td>\n | 0.9975640502598242<\/td>\n<\/tr>\n | \n| 5<\/td>\n | 0.9961946980917455<\/td>\n<\/tr>\n | \n| 6<\/td>\n | 0.9945218953682733<\/td>\n<\/tr>\n | \n| 7<\/td>\n | 0.992546151641322<\/td>\n<\/tr>\n | \n| 8<\/td>\n | 0.9902680687415704<\/td>\n<\/tr>\n | \n| 9<\/td>\n | 0.9876883405951378<\/td>\n<\/tr>\n | \n| 10<\/td>\n | 0.984807753012208<\/td>\n<\/tr>\n | \n| 11<\/td>\n | 0.981627183447664<\/td>\n<\/tr>\n | \n| 12<\/td>\n | 0.9781476007338057<\/td>\n<\/tr>\n | \n| 13<\/td>\n | 0.9743700647852352<\/td>\n<\/tr>\n | \n| 14<\/td>\n | 0.9702957262759965<\/td>\n<\/tr>\n | \n| 15<\/td>\n | 0.9659258262890683<\/td>\n<\/tr>\n | \n| 16<\/td>\n | 0.9612616959383189<\/td>\n<\/tr>\n | \n| 17<\/td>\n | 0.9563047559630355<\/td>\n<\/tr>\n | \n| 18<\/td>\n | 0.9510565162951535<\/td>\n<\/tr>\n | \n| 19<\/td>\n | 0.9455185755993168<\/td>\n<\/tr>\n | \n| 20<\/td>\n | 0.9396926207859084<\/td>\n<\/tr>\n | \n| 21<\/td>\n | 0.9335804264972017<\/td>\n<\/tr>\n | \n| 22<\/td>\n | 0.9271838545667874<\/td>\n<\/tr>\n | \n| 23<\/td>\n | 0.9205048534524404<\/td>\n<\/tr>\n | \n| 24<\/td>\n | 0.9135454576426009<\/td>\n<\/tr>\n | \n| 25<\/td>\n | 0.9063077870366499<\/td>\n<\/tr>\n | \n| 26<\/td>\n | 0.898794046299167<\/td>\n<\/tr>\n | \n| 27<\/td>\n | 0.8910065241883679<\/td>\n<\/tr>\n | \n| 28<\/td>\n | 0.882947592858927<\/td>\n<\/tr>\n | \n| 29<\/td>\n | 0.8746197071393957<\/td>\n<\/tr>\n | \n| 30<\/td>\n | 0.8660254037844387<\/td>\n<\/tr>\n | \n| 31<\/td>\n | 0.8571673007021123<\/td>\n<\/tr>\n | \n| 32<\/td>\n | 0.848048096156426<\/td>\n<\/tr>\n | \n| 33<\/td>\n | 0.838670567945424<\/td>\n<\/tr>\n | \n| 34<\/td>\n | 0.8290375725550417<\/td>\n<\/tr>\n | \n| 35<\/td>\n | 0.8191520442889918<\/td>\n<\/tr>\n | \n| 36<\/td>\n | 0.8090169943749474<\/td>\n<\/tr>\n | \n| 37<\/td>\n | 0.7986355100472928<\/td>\n<\/tr>\n | \n| 38<\/td>\n | 0.7880107536067219<\/td>\n<\/tr>\n | \n| 39<\/td>\n | 0.7771459614569709<\/td>\n<\/tr>\n | \n| 40<\/td>\n | 0.766044443118978<\/td>\n<\/tr>\n | \n| 41<\/td>\n | 0.754709580222772<\/td>\n<\/tr>\n | \n| 42<\/td>\n | 0.7431448254773942<\/td>\n<\/tr>\n | \n| 43<\/td>\n | 0.7313537016191705<\/td>\n<\/tr>\n | \n| 44<\/td>\n | 0.7193398003386512<\/td>\n<\/tr>\n | \n| 45<\/td>\n | 0.7071067811865476<\/td>\n<\/tr>\n | \n| 46<\/td>\n | 0.6946583704589974<\/td>\n<\/tr>\n | \n| 47<\/td>\n | 0.6819983600624985<\/td>\n<\/tr>\n | \n| 48<\/td>\n | 0.6691306063588582<\/td>\n<\/tr>\n | \n| 49<\/td>\n | 0.6560590289905074<\/td>\n<\/tr>\n | \n| 50<\/td>\n | 0.6427876096865394<\/td>\n<\/tr>\n | \n| 51<\/td>\n | 0.6293203910498375<\/td>\n<\/tr>\n | \n| 52<\/td>\n | 0.6156614753256583<\/td>\n<\/tr>\n | \n| 53<\/td>\n | 0.6018150231520484<\/td>\n<\/tr>\n | \n| 54<\/td>\n | 0.5877852522924731<\/td>\n<\/tr>\n | \n| 55<\/td>\n | 0.5735764363510462<\/td>\n<\/tr>\n | \n| 56<\/td>\n | 0.5591929034707468<\/td>\n<\/tr>\n | \n| 57<\/td>\n | 0.5446390350150272<\/td>\n<\/tr>\n | \n| 58<\/td>\n | 0.5299192642332049<\/td>\n<\/tr>\n | \n| 59<\/td>\n | 0.5150380749100544<\/td>\n<\/tr>\n | \n| 60<\/td>\n | 0.5000000000000001<\/td>\n<\/tr>\n | \n| 61<\/td>\n | 0.4848096202463371<\/td>\n<\/tr>\n | \n| 62<\/td>\n | 0.46947156278589086<\/td>\n<\/tr>\n | \n| 63<\/td>\n | 0.4539904997395468<\/td>\n<\/tr>\n | \n| 64<\/td>\n | 0.43837114678907746<\/td>\n<\/tr>\n | \n| 65<\/td>\n | 0.42261826174069944<\/td>\n<\/tr>\n | \n| 66<\/td>\n | 0.4067366430758004<\/td>\n<\/tr>\n | \n| 67<\/td>\n | 0.3907311284892737<\/td>\n<\/tr>\n | \n| 68<\/td>\n | 0.3746065934159122<\/td>\n<\/tr>\n | \n| 69<\/td>\n | 0.35836794954530015<\/td>\n<\/tr>\n | \n| 70<\/td>\n | 0.3420201433256688<\/td>\n<\/tr>\n | \n| 71<\/td>\n | 0.32556815445715675<\/td>\n<\/tr>\n | \n| 72<\/td>\n | 0.30901699437494745<\/td>\n<\/tr>\n | \n| 73<\/td>\n | 0.29237170472273677<\/td>\n<\/tr>\n | \n| 74<\/td>\n | 0.27563735581699916<\/td>\n<\/tr>\n | \n| 75<\/td>\n | 0.25881904510252074<\/td>\n<\/tr>\n | \n| 76<\/td>\n | 0.24192189559966767<\/td>\n<\/tr>\n | \n| 77<\/td>\n | 0.22495105434386514<\/td>\n<\/tr>\n | \n| 78<\/td>\n | 0.20791169081775923<\/td>\n<\/tr>\n | \n| 79<\/td>\n | 0.19080899537654491<\/td>\n<\/tr>\n | \n| 80<\/td>\n | 0.17364817766693041<\/td>\n<\/tr>\n | \n| 81<\/td>\n | 0.15643446504023092<\/td>\n<\/tr>\n | \n| 82<\/td>\n | 0.13917310096006546<\/td>\n<\/tr>\n | \n| 83<\/td>\n | 0.12186934340514749<\/td>\n<\/tr>\n | \n| 84<\/td>\n | 0.10452846326765346<\/td>\n<\/tr>\n | \n| 85<\/td>\n | 0.08715574274765836<\/td>\n<\/tr>\n | \n| 86<\/td>\n | 0.06975647374412523<\/td>\n<\/tr>\n | \n| 87<\/td>\n | 0.052335956242943966<\/td>\n<\/tr>\n | \n| 88<\/td>\n | 0.03489949670250108<\/td>\n<\/tr>\n | \n| 89<\/td>\n | 0.0174524064372836<\/td>\n<\/tr>\n | \n| 90<\/td>\n | 0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n Beachten Sie, dass cos(\u03b8) = sin(90\u00b0 \u2013 \u03b8) gilt, was f\u00fcr schnelle Querverweise in Konstruktionsdiagrammen n\u00fctzlich ist.<\/p>\n Tabelle der Tangentenfunktion<\/h2>\nDer Tangens ist das Verh\u00e4ltnis von Gegenkathete zu Ankathete und steigt von 0 bis unendlich an, wenn sich der Winkel 90\u00b0 n\u00e4hert. Er ist entscheidend f\u00fcr die Berechnung von Steigungen bei Rampen oder Gewindesteigungen bei Verbindungselementen.<\/p>\n \n \n\n\n| Winkel (\u00b0)<\/th>\n | tan Wert<\/th>\n<\/tr>\n<\/thead>\n | \n\n| 1<\/td>\n | 0.017455064928217585<\/td>\n<\/tr>\n | \n| 2<\/td>\n | 0.03492076949174773<\/td>\n<\/tr>\n | \n| 3<\/td>\n | 0.052407779283041196<\/td>\n<\/tr>\n | \n| 4<\/td>\n | 0.06992681194351041<\/td>\n<\/tr>\n | \n| 5<\/td>\n | 0.08748866352592401<\/td>\n<\/tr>\n | \n| 6<\/td>\n | 0.10510423526567646<\/td>\n<\/tr>\n | \n| 7<\/td>\n | 0.1227845609029046<\/td>\n<\/tr>\n | \n| 8<\/td>\n | 0.14054083470239145<\/td>\n<\/tr>\n | \n| 9<\/td>\n | 0.15838444032453627<\/td>\n<\/tr>\n | \n| 10<\/td>\n | 0.17632698070846497<\/td>\n<\/tr>\n | \n| 11<\/td>\n | 0.19438030913771848<\/td>\n<\/tr>\n | \n| 12<\/td>\n | 0.2125565616700221<\/td>\n<\/tr>\n | \n| 13<\/td>\n | 0.2308681911255631<\/td>\n<\/tr>\n | \n| 14<\/td>\n | 0.24932800284318068<\/td>\n<\/tr>\n | \n| 15<\/td>\n | 0.2679491924311227<\/td>\n<\/tr>\n | \n| 16<\/td>\n | 0.2867453857588079<\/td>\n<\/tr>\n | \n| 17<\/td>\n | 0.30573068145866033<\/td>\n<\/tr>\n | \n| 18<\/td>\n | 0.3249196962329063<\/td>\n<\/tr>\n | \n| 19<\/td>\n | 0.34432761328966527<\/td>\n<\/tr>\n | \n| 20<\/td>\n | 0.36397023426620234<\/td>\n<\/tr>\n | \n| 21<\/td>\n | 0.3838640350354158<\/td>\n<\/tr>\n | \n| 22<\/td>\n | 0.4040262258351568<\/td>\n<\/tr>\n | \n| 23<\/td>\n | 0.4244748162096047<\/td>\n<\/tr>\n | \n| 24<\/td>\n | 0.4452286853085361<\/td>\n<\/tr>\n | \n| 25<\/td>\n | 0.4663076581549986<\/td>\n<\/tr>\n | \n| 26<\/td>\n | 0.4877325885658614<\/td>\n<\/tr>\n | \n| 27<\/td>\n | 0.5095254494944288<\/td>\n<\/tr>\n | \n| 28<\/td>\n | 0.5317094316614788<\/td>\n<\/tr>\n | \n| 29<\/td>\n | 0.554309051452769<\/td>\n<\/tr>\n | \n| 30<\/td>\n | 0.5773502691896257<\/td>\n<\/tr>\n | \n| 31<\/td>\n | 0.6008606190275604<\/td>\n<\/tr>\n | \n| 32<\/td>\n | 0.6248693519093275<\/td>\n<\/tr>\n | \n| 33<\/td>\n | 0.6494075931975104<\/td>\n<\/tr>\n | \n| 34<\/td>\n | 0.6745085168424265<\/td>\n<\/tr>\n | \n| 35<\/td>\n | 0.7002075382097097<\/td>\n<\/tr>\n | \n| 36<\/td>\n | 0.7265425280053609<\/td>\n<\/tr>\n | \n| 37<\/td>\n | 0.7535540501027942<\/td>\n<\/tr>\n | \n| 38<\/td>\n | 0.7812856265067174<\/td>\n<\/tr>\n | \n| 39<\/td>\n | 0.8097840331950072<\/td>\n<\/tr>\n | \n| 40<\/td>\n | 0.8390996311772799<\/td>\n<\/tr>\n | \n| 41<\/td>\n | 0.8692867378162267<\/td>\n<\/tr>\n | \n| 42<\/td>\n | 0.9004040442978399<\/td>\n<\/tr>\n | \n| 43<\/td>\n | 0.9325150861376618<\/td>\n<\/tr>\n | \n| 44<\/td>\n | 0.9656887748070739<\/td>\n<\/tr>\n | \n| 45<\/td>\n | 0.9999999999999999<\/td>\n<\/tr>\n | \n| 46<\/td>\n | 1.0355303137905693<\/td>\n<\/tr>\n | \n| 47<\/td>\n | 1.0723687100246826<\/td>\n<\/tr>\n | \n| 48<\/td>\n | 1.1106125148291927<\/td>\n<\/tr>\n | \n| 49<\/td>\n | 1.1503684072210092<\/td>\n<\/tr>\n | \n| 50<\/td>\n | 1.19175359259421<\/td>\n<\/tr>\n | \n| 51<\/td>\n | 1.234897156535051<\/td>\n<\/tr>\n | \n| 52<\/td>\n | 1.2799416321930785<\/td>\n<\/tr>\n | \n| 53<\/td>\n | 1.3270448216204098<\/td>\n<\/tr>\n | \n| 54<\/td>\n | 1.3763819204711733<\/td>\n<\/tr>\n | \n| 55<\/td>\n | 1.4281480067421144<\/td>\n<\/tr>\n | \n| 56<\/td>\n | 1.4825609685127403<\/td>\n<\/tr>\n | \n| 57<\/td>\n | 1.5398649638145827<\/td>\n<\/tr>\n | \n| 58<\/td>\n | 1.6003345290410506<\/td>\n<\/tr>\n | \n| 59<\/td>\n | 1.6642794823505173<\/td>\n<\/tr>\n | \n| 60<\/td>\n | 1.7320508075688767<\/td>\n<\/tr>\n | \n| 61<\/td>\n | 1.8040477552714235<\/td>\n<\/tr>\n | \n| 62<\/td>\n | 1.8807264653463318<\/td>\n<\/tr>\n | \n| 63<\/td>\n | 1.9626105055051503<\/td>\n<\/tr>\n | \n| 64<\/td>\n | 2.050303841579296<\/td>\n<\/tr>\n | \n| 65<\/td>\n | 2.1445069205095586<\/td>\n<\/tr>\n | \n| 66<\/td>\n | 2.246036773904215<\/td>\n<\/tr>\n | \n| 67<\/td>\n | 2.355852365823753<\/td>\n<\/tr>\n | \n| 68<\/td>\n | 2.4750868534162946<\/td>\n<\/tr>\n | \n| 69<\/td>\n | 2.6050890646938023<\/td>\n<\/tr>\n | \n| 70<\/td>\n | 2.7474774194546216<\/td>\n<\/tr>\n | \n| 71<\/td>\n | 2.904210877675822<\/td>\n<\/tr>\n | \n| 72<\/td>\n | 3.0776835371752526<\/td>\n<\/tr>\n | \n| 73<\/td>\n | 3.2708526184841404<\/td>\n<\/tr>\n | \n| 74<\/td>\n | 3.4874144438409087<\/td>\n<\/tr>\n | \n| 75<\/td>\n | 3.7320508075688776<\/td>\n<\/tr>\n | \n| 76<\/td>\n | 4.0107809335358455<\/td>\n<\/tr>\n | \n| 77<\/td>\n | 4.331475874284153<\/td>\n<\/tr>\n | \n| 78<\/td>\n | 4.704630109478456<\/td>\n<\/tr>\n | \n| 79<\/td>\n | 5.144554015970307<\/td>\n<\/tr>\n | \n| 80<\/td>\n | 5.671281819617707<\/td>\n<\/tr>\n | \n| 81<\/td>\n | 6.313751514675041<\/td>\n<\/tr>\n | \n| 82<\/td>\n | 7.115369722384207<\/td>\n<\/tr>\n | \n| 83<\/td>\n | 8.144346427974593<\/td>\n<\/tr>\n | \n| 84<\/td>\n | 9.514364454222587<\/td>\n<\/tr>\n | \n| 85<\/td>\n | 11.43005230276132<\/td>\n<\/tr>\n | \n| 86<\/td>\n | 14.300666256711942<\/td>\n<\/tr>\n | \n| 87<\/td>\n | 19.08113668772816<\/td>\n<\/tr>\n | \n| 88<\/td>\n | 28.636253282915515<\/td>\n<\/tr>\n | \n| 89<\/td>\n | 57.289961630759144<\/td>\n<\/tr>\n | \n| 90<\/td>\n | Undefiniert (strebt gegen Unendlichkeit)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n Tan(45\u00b0) = 1, ein wichtiger Bezugspunkt f\u00fcr gleichseitige Dreiecke in der strukturellen Symmetrie.<\/p>\n Kotangensfunktionstabelle<\/h2>\nDer Kotangens ist der Kehrwert des Tangens und nimmt von unendlich bei 0\u00b0 auf 0 bei 90\u00b0 ab. Er ist n\u00fctzlich f\u00fcr Berechnungen der inversen Steigung in technischen Zeichnungen oder kinematischen Analysen.<\/p>\n \n \n\n\n| Winkel (\u00b0)<\/th>\n | cot Wert<\/th>\n<\/tr>\n<\/thead>\n | \n\n| 1<\/td>\n | 57.289961630759144<\/td>\n<\/tr>\n | \n| 2<\/td>\n | 28.636253282915515<\/td>\n<\/tr>\n | \n| 3<\/td>\n | 19.08113668772816<\/td>\n<\/tr>\n | \n| 4<\/td>\n | 14.300666256711942<\/td>\n<\/tr>\n | \n| 5<\/td>\n | 11.43005230276132<\/td>\n<\/tr>\n | \n| 6<\/td>\n | 9.514364454222587<\/td>\n<\/tr>\n | \n| 7<\/td>\n | 8.144346427974593<\/td>\n<\/tr>\n | \n| 8<\/td>\n | 7.115369722384207<\/td>\n<\/tr>\n | \n| 9<\/td>\n | 6.313751514675041<\/td>\n<\/tr>\n | \n| 10<\/td>\n | 5.671281819617707<\/td>\n<\/tr>\n | \n| 11<\/td>\n | 5.144554015970307<\/td>\n<\/tr>\n | \n| 12<\/td>\n | 4.704630109478456<\/td>\n<\/tr>\n | \n| 13<\/td>\n | 4.331475874284153<\/td>\n<\/tr>\n | \n| 14<\/td>\n | 4.0107809335358455<\/td>\n<\/tr>\n | \n| 15<\/td>\n | 3.7320508075688776<\/td>\n<\/tr>\n | \n| 16<\/td>\n | 3.4874144438409087<\/td>\n<\/tr>\n | \n| 17<\/td>\n | 3.2708526184841404<\/td>\n<\/tr>\n | \n| 18<\/td>\n | 3.0776835371752526<\/td>\n<\/tr>\n | \n| 19<\/td>\n | 2.904210877675822<\/td>\n<\/tr>\n | \n| 20<\/td>\n | 2.7474774194546216<\/td>\n<\/tr>\n | \n| 21<\/td>\n | 2.6050890646938023<\/td>\n<\/tr>\n | \n| 22<\/td>\n | 2.4750868534162946<\/td>\n<\/tr>\n | \n| 23<\/td>\n | 2.355852365823753<\/td>\n<\/tr>\n | \n| 24<\/td>\n | 2.246036773904215<\/td>\n<\/tr>\n | \n| 25<\/td>\n | 2.1445069205095586<\/td>\n<\/tr>\n | \n| 26<\/td>\n | 2.050303841579296<\/td>\n<\/tr>\n | \n| 27<\/td>\n | 1.9626105055051503<\/td>\n<\/tr>\n | \n| 28<\/td>\n | 1.8807264653463318<\/td>\n<\/tr>\n | \n| 29<\/td>\n | 1.8040477552714235<\/td>\n<\/tr>\n | \n| 30<\/td>\n | 1.7320508075688767<\/td>\n<\/tr>\n | \n| 31<\/td>\n | 1.6642794823505173<\/td>\n<\/tr>\n | \n| 32<\/td>\n | 1.6003345290410506<\/td>\n<\/tr>\n | \n| 33<\/td>\n | 1.5398649638145827<\/td>\n<\/tr>\n | \n| 34<\/td>\n | 1.4825609685127403<\/td>\n<\/tr>\n | \n| 35<\/td>\n | 1.4281480067421144<\/td>\n<\/tr>\n | \n| 36<\/td>\n | 1.3763819204711733<\/td>\n<\/tr>\n | \n| 37<\/td>\n | 1.3270448216204098<\/td>\n<\/tr>\n | \n| 38<\/td>\n | 1.2799416321930785<\/td>\n<\/tr>\n | \n| 39<\/td>\n | 1.234897156535051<\/td>\n<\/tr>\n | \n| 40<\/td>\n | 1.19175359259421<\/td>\n<\/tr>\n | \n| 41<\/td>\n | 1.1503684072210092<\/td>\n<\/tr>\n | \n| 42<\/td>\n | 1.1106125148291927<\/td>\n<\/tr>\n | \n| 43<\/td>\n | 1.0723687100246826<\/td>\n<\/tr>\n | \n| 44<\/td>\n | 1.0355303137905693<\/td>\n<\/tr>\n | \n| 45<\/td>\n | 1.000000000000000<\/td>\n<\/tr>\n | \n| 46<\/td>\n | 0.9656887748070739<\/td>\n<\/tr>\n | \n| 47<\/td>\n | 0.9325150861376618<\/td>\n<\/tr>\n | \n| 48<\/td>\n | 0.9004040442978399<\/td>\n<\/tr>\n | \n| 49<\/td>\n | 0.8692867378162267<\/td>\n<\/tr>\n | \n| 50<\/td>\n | 0.8390996311772799<\/td>\n<\/tr>\n | \n| 51<\/td>\n | 0.8097840331950072<\/td>\n<\/tr>\n | \n| 52<\/td>\n | 0.7812856265067174<\/td>\n<\/tr>\n | \n| 53<\/td>\n | 0.7535540501027942<\/td>\n<\/tr>\n | \n| 54<\/td>\n | 0.7265425280053609<\/td>\n<\/tr>\n | \n| 55<\/td>\n | 0.7002075382097097<\/td>\n<\/tr>\n | \n| 56<\/td>\n | 0.6745085168424265<\/td>\n<\/tr>\n | \n| 57<\/td>\n | 0.6494075931975104<\/td>\n<\/tr>\n | \n| 58<\/td>\n | 0.6248693519093275<\/td>\n<\/tr>\n | \n| 59<\/td>\n | 0.6008606190275604<\/td>\n<\/tr>\n | \n| 60<\/td>\n | 0.5773502691896257<\/td>\n<\/tr>\n | \n| 61<\/td>\n | 0.554309051452769<\/td>\n<\/tr>\n | \n| 62<\/td>\n | 0.5317094316614788<\/td>\n<\/tr>\n | \n| 63<\/td>\n | 0.5095254494944288<\/td>\n<\/tr>\n | \n| 64<\/td>\n | 0.4877325885658614<\/td>\n<\/tr>\n | \n| 65<\/td>\n | 0.4663076581549986<\/td>\n<\/tr>\n | \n| 66<\/td>\n | 0.4452286853085361<\/td>\n<\/tr>\n | \n| 67<\/td>\n | 0.4244748162096047<\/td>\n<\/tr>\n | \n| 68<\/td>\n | 0.4040262258351568<\/td>\n<\/tr>\n | \n| 69<\/td>\n | 0.3838640350354158<\/td>\n<\/tr>\n | \n| 70<\/td>\n | 0.36397023426620234<\/td>\n<\/tr>\n | \n| 71<\/td>\n | 0.34432761328966527<\/td>\n<\/tr>\n | \n| 72<\/td>\n | 0.3249196962329063<\/td>\n<\/tr>\n | \n| 73<\/td>\n | 0.30573068145866033<\/td>\n<\/tr>\n | \n| 74<\/td>\n | 0.2867453857588079<\/td>\n<\/tr>\n | \n| 75<\/td>\n | 0.2679491924311227<\/td>\n<\/tr>\n | \n| 76<\/td>\n | 0.24932800284318068<\/td>\n<\/tr>\n | \n| 77<\/td>\n | 0.2308681911255631<\/td>\n<\/tr>\n | \n| 78<\/td>\n | 0.2125565616700221<\/td>\n<\/tr>\n | \n| 79<\/td>\n | 0.19438030913771848<\/td>\n<\/tr>\n | \n| 80<\/td>\n | 0.17632698070846497<\/td>\n<\/tr>\n | \n| 81<\/td>\n | 0.15838444032453627<\/td>\n<\/tr>\n | \n| 82<\/td>\n | 0.14054083470239145<\/td>\n<\/tr>\n | \n| 83<\/td>\n | 0.1227845609029046<\/td>\n<\/tr>\n | \n| 84<\/td>\n | 0.10510423526567646<\/td>\n<\/tr>\n | \n| 85<\/td>\n | 0.08748866352592401<\/td>\n<\/tr>\n | \n| 86<\/td>\n | 0.06992681194351041<\/td>\n<\/tr>\n | \n| 87<\/td>\n | 0.052407779283041196<\/td>\n<\/tr>\n | \n| 88<\/td>\n | 0.03492076949174773<\/td>\n<\/tr>\n | \n| 89<\/td>\n | 0.017455064928217585<\/td>\n<\/tr>\n | \n| 90<\/td>\n | 0 (Ann\u00e4herungen an 0)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n Cot(\u03b8) = tan(90\u00b0 \u2013 \u03b8), wodurch sich eine praktische Beziehung zur \u00dcberpr\u00fcfung ergibt.<\/p>\n Anwendungen im Maschinenbau<\/h2>\nIm Maschinenbau werden diese Funktionen zur Berechnung von Gewindewinkeln (z. B. 60\u00b0 bei metrischen Gewinden), zur Bestimmung von Kr\u00e4ften in Fachwerken oder zur Auslegung schr\u00e4ger Verbindungselemente eingesetzt. So ermittelt beispielsweise tan(\u03b8) das Verh\u00e4ltnis von Steigung zu Hub in F\u00f6rderanlagen, w\u00e4hrend sin und cos die Gravitationskomponenten in der Lastanalyse bestimmen.<\/p>\n \n- Die Schubspannung in Winkelverbindungen wird mit sin(\u03b8) berechnet.<\/li>\n
- Verwenden Sie cos(\u03b8) f\u00fcr die Normalkraft in Keilmechanismen.<\/li>\n
- Wenden Sie tan(\u03b8) f\u00fcr Reibungswinkel in Spannvorrichtungen an.<\/li>\n
- Verwenden Sie cot(\u03b8) in Zahnradprofilen f\u00fcr inverse \u00dcbersetzungsverh\u00e4ltnisse.<\/li>\n<\/ol>\n
Durch die Integration mit Software wie AutoCAD wird eine pr\u00e4zise Modellierung erm\u00f6glicht, wodurch sichergestellt wird, dass die Konstruktionen den Sicherheitsstandards entsprechen.<\/p>\n H\u00e4ufig gestellte Fragen (FAQ)<\/h2>\n\n Wie genau sind diese trigonometrischen Werte?<\/h3>\nDie Werte werden mit Hilfe g\u00e4ngiger Mathematikbibliotheken auf 15 Dezimalstellen genau berechnet, was f\u00fcr technische Genauigkeit ausreicht; f\u00fcr Berechnungen wird gegebenenfalls gerundet, um Fehler zu vermeiden.<\/p>\n Warum Grad statt Radiant verwenden?<\/h3>\nGradangaben sind in technischen Zeichnungen \u00fcblich; f\u00fcr Berechnungswerkzeuge wie MATLAB oder Python m\u00fcssen sie in Bogenma\u00df umgerechnet werden (\u03b8_rad = \u03b8_deg * \u03c0 \/ 180).<\/p>\n Was ist, wenn ich Werte f\u00fcr Winkel \u00fcber 90\u00b0 ben\u00f6tige?<\/h3>\nNutzen Sie die periodischen Eigenschaften: sin(180\u00b0 \u2013 \u03b8) = sin(\u03b8), cos(180\u00b0 \u2013 \u03b8) = -cos(\u03b8); erweitern Sie die Tabellen entsprechend f\u00fcr die Vollkreisanalyse bei Rotationen.<\/p>\n Wie lassen sich diese Funktionen auf die Konstruktion von Verbindungselementen anwenden?<\/h3>\nIn der Gewindegeometrie hilft tan(30\u00b0) \u2248 0,577 bei der Berechnung der Steigungswinkel; sin und cos bestimmen die axialen und radialen Kr\u00e4fte f\u00fcr die Drehmomentvorgaben.<\/p>\n Kann ich zwischen Tabellenwerten interpolieren?<\/h3>\nJa, f\u00fcr N\u00e4herungswerte kann man lineare Interpolation verwenden, aber f\u00fcr eine hohe Genauigkeit sollte man Taschenrechner oder Software einsetzen, um exakte Werte f\u00fcr nicht-ganzzahlige Winkel zu berechnen.<\/p>\n Welcher Zusammenhang besteht zwischen tan und cot?<\/h3>\nCot(\u03b8) = 1 \/ tan(\u03b8), n\u00fctzlich zur Vereinfachung von Gleichungen in der Stabilit\u00e4tsanalyse mechanischer Strukturen.<\/p>\n<\/div>\n <\/p>","protected":false},"excerpt":{"rendered":" Article Outline This article presents a detailed trigonometric functions table, optimized for practical use in mechanical engineering. The structure is as follows: Introduction to Trigonometric Functions Definitions and Basic Principles Sine Function Table Cosine Function Table Tangent Function Table Cotangent Function Table Applications in Mechanical Design Frequently Asked Questions (FAQ) Introduction to Trigonometric Functions Trigonometric […]<\/p>","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[220],"tags":[],"class_list":["post-5735","post","type-post","status-publish","format-standard","hentry","category-technical-documentation-and-references"],"_links":{"self":[{"href":"https:\/\/korea-transmission.com\/de\/wp-json\/wp\/v2\/posts\/5735","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/korea-transmission.com\/de\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/korea-transmission.com\/de\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/korea-transmission.com\/de\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/korea-transmission.com\/de\/wp-json\/wp\/v2\/comments?post=5735"}],"version-history":[{"count":2,"href":"https:\/\/korea-transmission.com\/de\/wp-json\/wp\/v2\/posts\/5735\/revisions"}],"predecessor-version":[{"id":5737,"href":"https:\/\/korea-transmission.com\/de\/wp-json\/wp\/v2\/posts\/5735\/revisions\/5737"}],"wp:attachment":[{"href":"https:\/\/korea-transmission.com\/de\/wp-json\/wp\/v2\/media?parent=5735"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/korea-transmission.com\/de\/wp-json\/wp\/v2\/categories?post=5735"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/korea-transmission.com\/de\/wp-json\/wp\/v2\/tags?post=5735"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}} | | | |