\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 Ces valeurs sont calcul\u00e9es \u00e0 l'aide de biblioth\u00e8ques math\u00e9matiques standard pour plus de pr\u00e9cision. Par exemple, sin(30\u00b0) \u2248 0,5, valeur id\u00e9ale pour les calculs du triangle 30-60-90 dans la conception d'engrenages.<\/p>\n Tableau de la fonction cosinus<\/h2>\nLe cosinus est le rapport du c\u00f4t\u00e9 adjacent \u00e0 l'hypot\u00e9nuse, diminuant de 1 \u00e0 0\u00b0 \u00e0 0 \u00e0 90\u00b0. Il est essentiel pour les calculs de la composante horizontale des vecteurs de force ou du mouvement des projectiles dans les syst\u00e8mes m\u00e9caniques.<\/p>\n \n \n\n\n| Angle (\u00b0)<\/th>\n | Valeur cos<\/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 Notez que cos(\u03b8) = sin(90\u00b0 \u2013 \u03b8), utile pour des r\u00e9f\u00e9rences crois\u00e9es rapides dans les tableaux de conception.<\/p>\n Tableau de la fonction tangente<\/h2>\nLa tangente est le rapport entre le c\u00f4t\u00e9 oppos\u00e9 et le c\u00f4t\u00e9 adjacent\u00a0; elle augmente de 0 \u00e0 l\u2019infini lorsque l\u2019angle tend vers 90\u00b0. Elle est essentielle pour calculer la pente des rampes ou le pas de filetage des fixations.<\/p>\n \n \n\n\n| Angle (\u00b0)<\/th>\n | Valeur tan<\/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 | Ind\u00e9fini (tend vers l'infini)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n Tan(45\u00b0) = 1, une r\u00e9f\u00e9rence cl\u00e9 pour les triangles \u00e0 c\u00f4t\u00e9s \u00e9gaux dans la sym\u00e9trie structurelle.<\/p>\n Tableau des fonctions cotangentes<\/h2>\nLa cotangente est l'inverse de la tangente\u00a0; elle d\u00e9cro\u00eet de l'infini \u00e0 0\u00b0 et s'annule \u00e0 90\u00b0. Elle est utile pour les calculs de pente inverse dans les dessins techniques ou l'analyse cin\u00e9matique.<\/p>\n \n \n\n\n| Angle (\u00b0)<\/th>\n | Valeur du cot<\/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 (approche de 0)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n Cot(\u03b8) = tan(90\u00b0 \u2013 \u03b8), fournissant une relation pratique pour la v\u00e9rification.<\/p>\n Applications en conception m\u00e9canique<\/h2>\nEn g\u00e9nie m\u00e9canique, ces fonctions servent \u00e0 calculer les angles de filetage des boulons (par exemple, 60\u00b0 pour les filetages m\u00e9triques), \u00e0 d\u00e9terminer les forces dans les treillis ou \u00e0 concevoir des fixations inclin\u00e9es. Par exemple, tan(\u03b8) d\u00e9termine la diff\u00e9rence de hauteur entre la fl\u00e8che et la course dans les syst\u00e8mes de convoyage, tandis que sin et cos permettent de d\u00e9terminer les composantes gravitationnelles dans l'analyse des charges.<\/p>\n \n- Calculer la contrainte de cisaillement dans les joints angulaires en utilisant sin(\u03b8).<\/li>\n
- Utilisez cos(\u03b8) pour la force normale dans les m\u00e9canismes \u00e0 coin.<\/li>\n
- Appliquez tan(\u03b8) pour les angles de frottement dans les dispositifs de serrage.<\/li>\n
- Utilisez cot(\u03b8) dans les profils de dents d'engrenage pour les rapports inverses.<\/li>\n<\/ol>\n
Int\u00e9grez-le \u00e0 des logiciels comme AutoCAD pour une mod\u00e9lisation pr\u00e9cise, garantissant ainsi que les conceptions respectent les normes de s\u00e9curit\u00e9.<\/p>\n Foire aux questions (FAQ)<\/h2>\n\n Quelle est la pr\u00e9cision de ces valeurs trigonom\u00e9triques\u00a0?<\/h3>\nLes valeurs sont calcul\u00e9es avec une pr\u00e9cision de 15 d\u00e9cimales \u00e0 l'aide de biblioth\u00e8ques math\u00e9matiques standard, suffisante pour la pr\u00e9cision en ing\u00e9nierie ; arrondir au besoin pour les calculs afin d'\u00e9viter les erreurs.<\/p>\n Pourquoi utiliser des degr\u00e9s plut\u00f4t que des radians ?<\/h3>\nLes degr\u00e9s sont courants dans les dessins techniques ; convertissez en radians (\u03b8_rad = \u03b8_deg * \u03c0 \/ 180) pour les outils de calcul comme MATLAB ou Python.<\/p>\n Que faire si j'ai besoin de valeurs pour des angles sup\u00e9rieurs \u00e0 90\u00b0 ?<\/h3>\nUtilisez les propri\u00e9t\u00e9s p\u00e9riodiques : sin(180\u00b0 \u2013 \u03b8) = sin(\u03b8), cos(180\u00b0 \u2013 \u03b8) = -cos(\u03b8) ; \u00e9tendez les tables en cons\u00e9quence pour une analyse compl\u00e8te du cercle dans les rotations.<\/p>\n Comment ces fonctions s'appliquent-elles \u00e0 la conception des fixations ?<\/h3>\nEn g\u00e9om\u00e9trie de filetage, tan(30\u00b0) \u2248 0,577 aide \u00e0 calculer les angles d'h\u00e9lice ; sin et cos r\u00e9solvent les forces axiales et radiales pour les sp\u00e9cifications de couple.<\/p>\n Puis-je interpoler entre les valeurs du tableau\u00a0?<\/h3>\nOui, utilisez l'interpolation lin\u00e9aire pour les approximations, mais pour une grande pr\u00e9cision, utilisez des calculatrices ou des logiciels pour calculer les valeurs exactes des angles non entiers.<\/p>\n Quelle est la relation entre tan et cot ?<\/h3>\nCot(\u03b8) = 1 \/ tan(\u03b8), utile pour simplifier les \u00e9quations dans l'analyse de stabilit\u00e9 des structures m\u00e9caniques.<\/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\/fr\/wp-json\/wp\/v2\/posts\/5735","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/korea-transmission.com\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/korea-transmission.com\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/korea-transmission.com\/fr\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/korea-transmission.com\/fr\/wp-json\/wp\/v2\/comments?post=5735"}],"version-history":[{"count":2,"href":"https:\/\/korea-transmission.com\/fr\/wp-json\/wp\/v2\/posts\/5735\/revisions"}],"predecessor-version":[{"id":5737,"href":"https:\/\/korea-transmission.com\/fr\/wp-json\/wp\/v2\/posts\/5735\/revisions\/5737"}],"wp:attachment":[{"href":"https:\/\/korea-transmission.com\/fr\/wp-json\/wp\/v2\/media?parent=5735"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/korea-transmission.com\/fr\/wp-json\/wp\/v2\/categories?post=5735"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/korea-transmission.com\/fr\/wp-json\/wp\/v2\/tags?post=5735"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}} | | | |