Ukusetshenziswa kwezilinganiso ze-Trigonometric tan θ
I-Pendahuluan
I-Trigonometry iyigatsha lezibalo elifunda ubudlelwano phakathi kobude bezinhlangothi nama-engeli kunxantathu. Omunye wemibono ebaluleke kakhulu ku-trigonometry yi-trigonometric ratios, equkethe i-sine (sin), i-cosine (cos), kanye ne-tangent (tan). Kulezi zilinganiso ezintathu, i-tangent idlala indima ebalulekile emikhakheni ehlukahlukene, kusukela emfundweni yamabanga aphansi kuya kubuchwepheshe obuthuthukisiwe. Lesi sihloko sizohlola ukusetshenziswa okuyinhloko kwe-trigonometric ratio tangent, evame ukufanekiswa njenge-tan θ.
Ukuqonda isisekelo se-tan θ
I-tangent ye-engeli θ kunxantathu wesokudla ichazwa njengesilinganiso sobude bohlangothi oluphambene ne-engeli nobude bohlangothi oluseduze. Ngesimo sezibalo:
tan θ = (uhlangothi oluphambene) / (uhlangothi oluseduze)
Njenge-sin kanye ne-cos, i-tan θ nayo inenani elihlukahluka ngokwe-engeli i-θ ngokwayo, futhi la manani angatholakala kalula kuthebula le-trigonometry noma ngokusebenzisa i-calculator yesayensi.
Ukusetshenziswa kwe-tan θ emfundweni
Isixazululo Sikanxantathu
Ezingeni lesibili, enye yezindlela zokuqala zokusebenzisa i-tan θ ukuxazulula onxantathu abagobile ngakwesokudla. Njengoba sibheka ubude bohlangothi olulodwa kanye ne-engeli eyodwa (ngaphandle kwe-engeli efanele), singabala ubude bolunye uhlangothi sisebenzisa ifomula ye-tan θ. Lokhu kuwusizo kakhulu ekuxazululeni izinkinga eziningi zejiyometri kokubili ezibalweni kanye nasefiziksini.
I-Trigonometry Njengesisekelo Se-Calculus
I-Trigonometry, okuhlanganisa ne-tangent, iyimfuneko yokufunda i-calculus. Imiqondo eminingi ekubalweni, njenge-trigonometric derivations kanye ne-integrals, incike ekuqondeni okujulile kwezilinganiso ze-trigonometric. Isibonelo, ekutholeni i-derivative yomsebenzi we-tangent, sithola ukuthi i-derivative ye-tan θ ingu-sec^2 θ. Lo mfanekiso ubonisa ukuthi i-tan θ ibaluleke kangakanani ekuqondeni i-calculus theory eyengeziwe.
Ukusetshenziswa kwe-tan θ kubunjiniyela nobuchwepheshe
Insimu Yokwakha Nokwakha
Ekwakhiweni kwezakhiwo nokwakha, ukubala ama-engeli namabanga ngokuvamile akunakugwenywa. I-tan θ iwusizo kakhulu lapha ekunqumeni imithambeka yophahla, ama-engeli ezitebhisi, noma ngisho nokuphakama kwerempu. Ngokusebenzisa i-tan θ, onjiniyela bangaqinisekisa ukuthi izakhiwo zesakhiwo zigcina imithambeka ephephile nezinzile.
Ubunjiniyela Bogesi
Kubunjiniyela kagesi, i-tan θ isetshenziswa ekuhlaziyweni kwamasekethe e-AC (alternating current). Impedance kusekethe ye-AC ingahunyushwa kusetshenziswa izinombolo eziyinkimbinkimbi, lapho i-phase angle phakathi komshini wamanje kanye ne-voltage yaziwa ngokuthi i-phase angle θ. Besebenzisa i-tan θ, onjiniyela bakagesi bangabala le-phase angle ukuze bandise ukusebenza kahle kohlelo lukagesi.
Ukusetshenziswa kwe-tan θ ku-Navigation kanye ne-Astronomy
Ukuzulazula
I-Tan θ isetshenziswa ekuzulazuleni, kokubili ezweni naselwandle. Ekuzulazuleni komhlaba, ibanga (elilinganiswa njengomugqa ovundlile) kanye nokuphakama kwento kungasetshenziswa ukuthola isiqondiso nomzila ofanele. I-Tan θ isetshenziswa nasekuzulazuleni emoyeni, ikakhulukazi ekubaleni imizila yendiza kanye namazinga okwehla.
astronomy
Ku-astronomy, i-tangent ye-engeli isetshenziswa futhi ukubala izikhundla ezihambisanayo zezinkanyezi namaplanethi. Besebenzisa umqondo we-parallax, izazi zezinkanyezi zingabala amabanga phakathi kwezinkanyezi noma zilinganise ubukhulu bezinto zasezulwini. Indima ye-tan θ ku-astronomy iyasiza kakhulu ekuthuthukiseni amamodeli esikhala anezinhlangothi ezintathu.
Ukusetshenziswa kwe-tan θ ekuzweleni okude kanye ne-Photogrammetry
Ukuzwa kude kuyindlela yokuqoqa idatha ngento noma into ngaphandle kokuxhumana ngqo nento, isibonelo ngezithombe zesathelayithi. I-Photogrammetry isayensi nobuchwepheshe bokuthola ulwazi oluthembekile mayelana nezinto ezibonakalayo kanye nemvelo ngenqubo yokuqopha, ukulinganisa, kanye nokuhumusha izithombe. Kuzo zombili izinkambu, i-tan θ isetshenziselwa ukunquma ibanga kanye nosayizi wezinto esithombeni.
Ake sithi i-drone indiza phezu kwendawo bese ithatha izithombe zamaphuzu amaningana phansi. Njengoba yazi ukuphakama kwe-drone ngaphezu komhlaba kanye ne-engeli yokuthwebula isithombe, i-tan θ ingasetshenziswa ukubala amabanga avundlile naqondile phakathi kwamaphuzu esithombeni.
Izicelo Empilweni Yansuku Zonke
Ukwakhiwa Komklamo Wezakhiwo
Uma uklama noma uvuselela indlu, i-tan θ ingasetshenziswa ukubala i-engeli yophahla noma i-slope yesinye isakhiwo. Lolu lwazi luqinisekisa ukuthi indlu yakhiwe nge-engeli efanele ukuze iqine futhi iphephe.
Ezemidlalo
Kwezemidlalo, ikakhulukazi lezo ezihilela ukuphonsa noma ukudubula, njengokudubula ngomnsalo noma i-basketball, ukuqonda i-tan θ kungasiza abasubathi ukulungisa ama-engeli abo okuphonsa noma ukudubula. Lokhu kungathuthukisa ukunemba nokusebenza kahle, kokubili kochwepheshe kanye nabantu abathanda ukuzilibazisa.
Isiphetho
I-Tangent, noma i-tan θ, inobubanzi nobubanzi bezicelo emikhakheni eminingi ehlukene. Kusukela emfundweni kuya kubuchwepheshe obuthuthukisiwe, kusukela ekwakheni kuya ku-astronomy, i-tan θ iyithuluzi eliwusizo neliguquguqukayo. Kangangoba kubalulekile ukuqonda lo mqondo oyisisekelo, kokubili kubafundi abasha kanye nochwepheshe abawusebenzisa emsebenzini wabo wansuku zonke.
Ukuqonda okuqinile kwe-tan θ kanye nezinye izilinganiso ze-trigonometric kuvula umnyango wezinhlobonhlobo ezingenamkhawulo zezicelo ezisebenzayo nezethiyori. Kuphinde kuxhume imikhakha eminingi, okubonisa ukubaluleka kwemibono yezibalo ekufakeni isandla ekuthuthukisweni kwesayensi nobuchwepheshe.
