\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 Warto\u015bci te s\u0105 obliczane za pomoc\u0105 standardowych bibliotek matematycznych, co zapewnia precyzj\u0119. Na przyk\u0142ad sin(30\u00b0) \u2248 0,5, co jest warto\u015bci\u0105 idealn\u0105 do oblicze\u0144 tr\u00f3jk\u0105t\u00f3w 30-60-90 w projektowaniu przek\u0142adni.<\/p>\n Tabela funkcji cosinus<\/h2>\nCosinus to stosunek d\u0142ugo\u015bci przyprostok\u0105tnej do przeciwprostok\u0105tnej, malej\u0105cy od 1 przy 0\u00b0 do 0 przy 90\u00b0. Jest on kluczowy dla oblicze\u0144 sk\u0142adowych poziomych wektor\u00f3w si\u0142 lub ruchu pocisku w uk\u0142adach mechanicznych.<\/p>\n \n \n\n\n| K\u0105t (\u00b0)<\/th>\n | warto\u015b\u0107 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 Nale\u017cy pami\u0119ta\u0107, \u017ce cos(\u03b8) = sin(90\u00b0 \u2013 \u03b8), co jest przydatne do szybkiego odwo\u0142ywania si\u0119 do wykres\u00f3w projektowych.<\/p>\n Tabela funkcji tangensowych<\/h2>\nTangens to stosunek d\u0142ugo\u015bci bok\u00f3w przeciwleg\u0142ych do s\u0105siednich, rosn\u0105cy od 0 do niesko\u0144czono\u015bci, gdy k\u0105t zbli\u017ca si\u0119 do 90\u00b0. Jest on kluczowy przy obliczaniu nachylenia ramp lub skoku gwintu w elementach z\u0142\u0105cznych.<\/p>\n \n \n\n\n| K\u0105t (\u00b0)<\/th>\n | warto\u015b\u0107 opalenizny<\/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 | Niezdefiniowany (zbli\u017ca si\u0119 do niesko\u0144czono\u015bci)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n Tan(45\u00b0) = 1, kluczowy parametr dla tr\u00f3jk\u0105t\u00f3w r\u00f3wnobocznych w symetrii strukturalnej.<\/p>\n Tabela funkcji cotangens<\/h2>\nCotangens to odwrotno\u015b\u0107 stycznej, malej\u0105ca od niesko\u0144czono\u015bci przy 0\u00b0 do 0 przy 90\u00b0. Jest to przydatne przy obliczaniu nachylenia odwrotnego w rysunkach technicznych lub analizie kinematycznej.<\/p>\n \n \n\n\n| K\u0105t (\u00b0)<\/th>\n | warto\u015b\u0107 \u0142\u00f3\u017ceczka<\/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 (zbli\u017ca si\u0119 do 0)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n Cot(\u03b8) = tan(90\u00b0 \u2013 \u03b8), co zapewnia wygodn\u0105 zale\u017cno\u015b\u0107 do weryfikacji.<\/p>\n Zastosowania w projektowaniu mechanicznym<\/h2>\nW in\u017cynierii mechanicznej funkcje te s\u0105 stosowane do obliczania k\u0105t\u00f3w gwintu \u015brub (np. 60\u00b0 w gwintach metrycznych), obliczania si\u0142 w kratownicach lub projektowania nachylonych element\u00f3w z\u0142\u0105cznych. Na przyk\u0142ad, tan(\u03b8) okre\u015bla stosunek wysoko\u015bci do d\u0142ugo\u015bci w systemach przeno\u015bnik\u00f3w ta\u015bmowych, a sin i cos obliczaj\u0105 sk\u0142adowe grawitacyjne w analizie obci\u0105\u017ce\u0144.<\/p>\n \n- Oblicz napr\u0119\u017cenie \u015bcinaj\u0105ce w po\u0142\u0105czeniach k\u0105towych za pomoc\u0105 sin(\u03b8).<\/li>\n
- W mechanizmach klinowych do okre\u015blenia si\u0142y normalnej nale\u017cy stosowa\u0107 cos(\u03b8).<\/li>\n
- Zastosuj tan(\u03b8) do k\u0105t\u00f3w tarcia w urz\u0105dzeniach zaciskowych.<\/li>\n
- Zastosuj cot(\u03b8) w profilach z\u0119b\u00f3w przek\u0142adni dla prze\u0142o\u017ce\u0144 odwrotnych.<\/li>\n<\/ol>\n
Zintegruj si\u0119 z oprogramowaniem takim jak AutoCAD, aby uzyska\u0107 precyzyjne modelowanie i mie\u0107 pewno\u015b\u0107, \u017ce projekty spe\u0142niaj\u0105 normy bezpiecze\u0144stwa.<\/p>\n Cz\u0119sto zadawane pytania (FAQ)<\/h2>\n\n Jak dok\u0142adne s\u0105 te warto\u015bci trygonometryczne?<\/h3>\nWarto\u015bci s\u0105 obliczane do 15 miejsc po przecinku przy u\u017cyciu standardowych bibliotek matematycznych, co jest wystarczaj\u0105ce dla precyzji in\u017cynierskiej; w razie potrzeby zaokr\u0105glane w celu unikni\u0119cia b\u0142\u0119d\u00f3w.<\/p>\n Dlaczego nale\u017cy u\u017cywa\u0107 stopni zamiast radian\u00f3w?<\/h3>\nStopnie powszechnie wyst\u0119puj\u0105 w rysunkach technicznych; w przypadku narz\u0119dzi obliczeniowych, takich jak MATLAB lub Python, mo\u017cna je przeliczy\u0107 na radiany (\u03b8_rad = \u03b8_deg * \u03c0 \/ 180).<\/p>\n Co zrobi\u0107, je\u015bli potrzebuj\u0119 warto\u015bci k\u0105t\u00f3w wi\u0119kszych ni\u017c 90\u00b0?<\/h3>\nZastosuj w\u0142a\u015bciwo\u015bci okresowe: sin(180\u00b0 \u2013 \u03b8) = sin(\u03b8), cos(180\u00b0 \u2013 \u03b8) = -cos(\u03b8); odpowiednio rozszerz tabele, aby umo\u017cliwi\u0107 analiz\u0119 pe\u0142nego okr\u0119gu w obrotach.<\/p>\n Jak te funkcje maj\u0105 zastosowanie w projektowaniu element\u00f3w z\u0142\u0105cznych?<\/h3>\nW geometrii gwint\u00f3w tan(30\u00b0) \u2248 0,577 pomaga obliczy\u0107 k\u0105ty natarcia; sin i cos pozwalaj\u0105 obliczy\u0107 si\u0142y osiowe i promieniowe dla specyfikacji momentu obrotowego.<\/p>\n Czy mog\u0119 interpolowa\u0107 warto\u015bci pomi\u0119dzy tabelami?<\/h3>\nTak, do przybli\u017ce\u0144 nale\u017cy stosowa\u0107 interpolacj\u0119 liniow\u0105, jednak w celu uzyskania wi\u0119kszej dok\u0142adno\u015bci nale\u017cy pos\u0142ugiwa\u0107 si\u0119 kalkulatorami lub oprogramowaniem do obliczania dok\u0142adnych warto\u015bci k\u0105t\u00f3w nieca\u0142kowitych.<\/p>\n Jaki jest zwi\u0105zek mi\u0119dzy kolorem opalenizny a kolorem cot?<\/h3>\nCot(\u03b8) = 1 \/ tan(\u03b8), przydatne do upraszczania r\u00f3wna\u0144 w analizie stabilno\u015bci konstrukcji mechanicznych.<\/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\/pl\/wp-json\/wp\/v2\/posts\/5735","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/korea-transmission.com\/pl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/korea-transmission.com\/pl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/korea-transmission.com\/pl\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/korea-transmission.com\/pl\/wp-json\/wp\/v2\/comments?post=5735"}],"version-history":[{"count":2,"href":"https:\/\/korea-transmission.com\/pl\/wp-json\/wp\/v2\/posts\/5735\/revisions"}],"predecessor-version":[{"id":5737,"href":"https:\/\/korea-transmission.com\/pl\/wp-json\/wp\/v2\/posts\/5735\/revisions\/5737"}],"wp:attachment":[{"href":"https:\/\/korea-transmission.com\/pl\/wp-json\/wp\/v2\/media?parent=5735"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/korea-transmission.com\/pl\/wp-json\/wp\/v2\/categories?post=5735"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/korea-transmission.com\/pl\/wp-json\/wp\/v2\/tags?post=5735"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}} | | | |