Mashandisirwo eTrigonometric Ratios tan θ
Pendauluan
Trigonometry ibazi remasvomhu rinoongorora hukama huripo pakati pehurefu hwemativi nemakona mumatriangles. Imwe yepfungwa dzakakosha mutrigonometry itrigonometric ratios, iyo ine sine (sin), cosine (cos), uye tangent (tan). Pamaratios matatu aya, tangent inoita basa rakakosha muzvikamu zvakasiyana-siyana, kubva kudzidzo yepuraimari kusvika kune tekinoroji yepamusoro. Chinyorwa chino chichaongorora mashandisirwo makuru etrigonometric ratio tangent, inowanzo miririrwa se tan θ.
Kunzwisisa hwaro hwe tan θ
Tangent yekona θ mukona yekurudyi inotsanangurwa sechiyero chehurefu hwerutivi rwakatarisana nekona nehurefu hwedivi riri pedyo. Muchimiro chemasvomhu:
tan θ = (divi rakatarisana) / (divi riri pedyo)
Kufanana nesin necos, tan θ inewo ma values anosiyana zvichienderana ne angle θ pachayo, uye ma values aya anogona kuwanikwa zviri nyore mutafura ye trigonometry kana nekushandisa scientific calculator.
Mashandisirwo e tan θ muDzidzo
Mhinduro yeTriangle
Padanho rechipiri, imwe yenzira dzekutanga dzekushandisa tan θ kugadzirisa matriangles ane angle yekurudyi. Tichifunga nezvehurefu hwedivi rimwe neangle imwe (kunze kweangle yekurudyi), tinogona kuverenga hurefu hwedivi rimwe tichishandisa fomura yetan θ. Izvi zvinobatsira zvikuru mukugadzirisa matambudziko mazhinji ejometri mumasvomhu nefizikisi.
Trigonometry seHwaro hweCalculus
Trigonometry, kusanganisira tangent, chinhu chinodiwa pakudzidza calculus. Pfungwa dzakawanda mu calculus, dzakadai se trigonometric derivations uye integrals, dzinotsamira pakunzwisisa kwakakwana kwe trigonometric ratios. Semuenzaniso, mukutsvaga derivative ye tangent function, tinoona kuti derivative ye tan θ i sec^2 θ. Mufananidzo uyu unoratidza kukosha kwe tan θ pakunzwisisa dzidziso ye calculus.
Mashandisirwo e tan θ muUinjiniya neTekinoroji
Nzvimbo dzekuvaka nekuvaka
Mukugadzira zvivakwa nekuvaka, kuverenga makona nemadaro kazhinji hazvidzivisiki. Tan θ inonyanya kubatsira pano pakuona materu edenga, makona ematanho, kana kutokwidza makomo. Nekushandisa tan θ, mainjiniya vanogona kuona kuti zvivakwa zvinochengetedza materu akachengeteka uye akagadzikana.
Electrical Engineering
Muinjiniya yemagetsi, tan θ inoshandiswa mukuongorora macircuit eAC (alternating current). Impedance mudunhu reAC inogona kududzirwa uchishandisa manhamba akaomarara, uko kona yechikamu pakati pemagetsi nevoltage inozivikanwa sephase angle θ. Vachishandisa tan θ, mainjiniya emagetsi vanogona kuverenga kona yechikamu ichi kuti vawedzere kushanda zvakanaka kwesystem yemagetsi.
Mashandisirwo e tan θ muNavigation neAstronomy
Navigation
Tan θ inoshandiswa pakufamba, panyika nepagungwa. Pakufamba panyika, daro (rinoyerwa semutsetse wakatsetseka) uye kukwirira kwechinhu zvinogona kushandiswa kuwana gwara rakakodzera uye nzira. Tan θ inoshandiswawo pakufamba mumhepo, kunyanya pakuverenga nzira dzekubhururuka uye mwero wekudzika.
Nyeredzi
Mukuongorora nyeredzi, tangent yekona inoshandiswawo kuverenga nzvimbo dzenyeredzi nemapuraneti. Vachishandisa pfungwa yeparallax, vaongorori venyeredzi vanogona kuverenga daro riri pakati penyeredzi kana kuyera saizi yezvinhu zvekudenga. Basa retan θ mukuongorora nyeredzi rinobatsira zvikuru mukugadzira mamodheru enzvimbo ane mativi matatu.
Mashandisirwo e tan θ muRemote Sensing nePhotogrammetry
Kuona zviri kure inzira yekuunganidza data nezvechinhu kana chiitiko pasina kubata zvakananga nechinhu chacho, semuenzaniso kuburikidza nemifananidzo yesatellite. Photogrammetry isayenzi netekinoroji yekuwana ruzivo rwakavimbika nezvezvinhu zvepanyama nenzvimbo zvakatikomberedza kuburikidza nekunyora, kuyera, uye kududzira mifananidzo yemifananidzo. Muminda yese iri miviri, tan θ inoshandiswa kuona daro nehukuru hwezvinhu zviri mumufananidzo.
Ngatitii drone inobhururuka pamusoro penzvimbo yotora mifananidzo yenzvimbo dzinoverengeka dziri pasi. Tichiziva kukwirira kwedrone iri pamusoro penyika uye kona yekutora mufananidzo, tan θ inogona kushandiswa kuverenga daro rakatwasuka nerakatwasuka pakati penzvimbo dziri mumufananidzo.
Mashandisirwo muHupenyu hweZuva Nezuva
Kugadzira Zvivako
Pakugadzira kana kugadzirisa imba, tan θ inogona kushandiswa kuverenga kona yedenga kana imwe nzvimbo yakatsetseka. Ruzivo urwu runovimbisa kuti imba yakavakwa nekona chaiyo kuti igare kwenguva refu uye ive yakachengeteka.
Mitambo
Mumitambo, kunyanya iyo inosanganisira kukanda kana kupfura, senge kupfura neuta kana basketball, kunzwisisa tan θ kunogona kubatsira vatambi kugadzirisa makona avo ekukanda kana kupfura. Izvi zvinogona kuvandudza kururama uye kushanda zvakanaka, kune vese nyanzvi nevanofarira zvemitambo.
Mhedziso
Tangent, kana kuti tan θ, ine mashandisirwo akasiyana-siyana muzvikamu zvakasiyana-siyana. Kubva padzidzo kusvika patekinoroji yepamusoro, kubva pakuvaka kusvika kunyanzvi dzenyeredzi, tan θ chishandiso chinokosha uye chinoshanda zvakasiyana-siyana. Zvakanyanya zvekuti zvakakosha kunzwisisa pfungwa iyi huru, kune vadzidzi vatsva uye kune nyanzvi dzinoishandisa mubasa ravo rezuva nezuva.
Kunzwisisa kwakasimba kwetan θ nedzimwe trigonometric ratios kunovhura mukana wekushandiswa kwakasiyana-siyana kwemabasa uye dzidziso. Izvi zvinobatanidzawo zvikoro zvakasiyana-siyana, zvichiratidza kukosha kwepfungwa dzemasvomhu mukubatsira mukukura kwesainzi netekinoroji.
