Kushandiswa kweSine neCosine
Masvomhu, kunyanya trigonometry, anowanzoonekwa seasina kujeka uye anongoshandiswa chete nesainzi nemainjiniya. Zvisinei, pfungwa dzetrigonometric dzakadai sesine necosine dzinoita basa rakakosha muhupenyu hwezuva nezuva. Chinyorwa chino chichakurukura pfungwa huru dzesine necosine, pamwe nekushandiswa kwadzo muzvikamu zvakasiyana-siyana zvakaita seinjiniya, fizikisi, mapurani, uye kunyangwe hunyanzvi.
Kunzwisisa Kwekutanga kweSine neCosine
Trigonometry ibazi remasvomhu rinoongorora hukama huripo pakati pemativi nemakona ematriangles. Mabasa maviri akakosha etrigonometric ekunzwisisa hukama uhwu ndeanoti sine (sin) uye cosine (cos).
Kana tikafunga nezvetriangle yekurudyi, apo angle alpha (α) iri iyo angle imwe isiri right angle, saka sine ye angle α ndiyo ratio iri pakati pehurefu hwerutivi rwakatarisana zvakananga ne angle α nehurefu hwe hypotenuse. Pamasvomhu, izvi zvinoratidzwa seizvi:
\[ \chivi(α) = \frac{inopikisa}{hypotenuse} \]
Kune rumwe rutivi, cosine yekona α inhamba yehurefu hwerutivi rwakatarisana nekona α nehurefu hwehypotenuse. Izvi zvinoratidzwa seizvi:
\[ \cos(α) = \frac{adjacent}{hypotenuse} \]
Mashandisirwo muUinjiniya neTekinoroji
Muinjiniya neinjiniya, masine nemacosine anoshandiswa zvakanyanya pazvinangwa zvakasiyana-siyana zvakaita sekuongorora mafungu, dhizaini yemagadzirirwo, uye makanika.
1. Kuongorora Mafungu: Mukuongorora mafungu, pfungwa dzesine necosine dzakakosha pakunzwisisa mashandiro emafungu. Mafungu eSinusoidal ndiwo rudzi rwemafungu rwakanyanya uye anogona kushandiswa kutsanangura zviitiko zvakawanda zvepanyama zvakaita semagetsi, mafungu eruzha, uye mafungu echiedza.
2. Kugadzira Zvivako: Pakugadzira zvivakwa nemabhiriji, mainjiniya anofanira kufunga nezvemitoro inoshanda pachivako. Vachishandisa pfungwa dzetrigonometry, mainjiniya vanogona kuverenga kushushikana nekukanganisika muzvikamu zvakasiyana zvechivako, vachiona kuti dhizaini yacho yakachengeteka uye inoshanda zvakanaka.
3. Makanika: Mumakanika, mabasa esine necosine anoshandiswa kuongorora kufamba kwekutenderera uye kudedera. Semuenzaniso, mukuongorora sisitimu yechitubu, mabasa etrigonometric anoshandiswa kutsanangura kutenderera kwesisitimu.
Mashandisirwo muFizikisi
Fizikisi inzvimbo inonyanya kutsamira pahwaro hwemasvomhu, uye trigonometry chishandiso chinokosha.
1. Kufamba Kwakareruka KweHarmonic: Mukudzidza kufamba kwakakareruka kweharmonic, senge pendulum kana mass pachitubu, sine necosine zvinoshandiswa kutsanangura nzvimbo, kumhanya, uye kukurumidza kwechinhu chinotenderera nekufamba kwenguva.
2. Optics: Mu optics, pfungwa dzekupindira uye kupararira kwechiedza dzinowanzotsanangurwa uchishandisa mabasa e sine ne cosine. Mabasa aya anobatsira kunzwisisa kuti mafungu echiedza anopindirana sei uye anodyidzana sei kuti agadzire mapatani anoonekwa.
3. Mafungu eElectromagnetic: Mafungu eElectromagnetic, anosanganisira chiedza, redhiyo, uye X-ray, anogona kutsanangurwa achishandisa mabasa emafungu e sinusoidal. Pfungwa iyi yakakosha mukugadzira maantenna uye kunzwisisa mashandiro anoita mafungu eelectromagnetic.
Mashandisirwo muUvakirwo
Kuvaka hakungorevi kugadzira zvivakwa zvakasimba chete asiwo nezverunako nenzvimbo. Trigonometry inoita basa rakakosha mukuwana chiyero pakati pekushanda nerunako.
1. Dhizaini yeJomethri: Madhizaini mazhinji ezvivakwa anosanganisira maumbirwo akaomarara ejometri, akadai semaarches nemadomes. Kuti vagadzire maumbirwo aya nemazvo uye vave nechokwadi chekuti maumbirwo acho agadzikana, vagadziri vezvivakwa vanovimba nepfungwa dzetrigonometry.
2. Kuongorora Mwenje: Kushandiswa kwechiedza chechisikigo muzvivakwa chinhu chakakosha pakugadzira zvivakwa zvemazuva ano. Vachishandisa mabasa esine necosine, vagadziri vezvivakwa vanogona kuverenga kona yechiedza uye kugadzira mahwindo nemamwe maburi kuti vawedzere chiedza chechisikigo uku vachideredza kupisa kwakanyanya.
Shandisa muArt
Vanhu vashoma vanozviziva, asi mashandiro esine necosine ane basa rakakosha muunyanzvi, kunyanya muunyanzvi hwekuona nemimhanzi.
1. Visual Arts: Muunyanzvi hwedhijitari, maalgorithms emasvomhu anowanzo shandiswa kugadzira mapatani akaomarara uye maumbirwo. Mabasa esine necosine anogona kushandiswa kugadzira mhedzisiro dzakadai semafungu, maspirals, uye mamwe mapatani enguva nenguva.
2. Mimhanzi: Mimhanzi ifungu reruzha rinogona kuongororwa uchishandisa mabasa e sinusoidal. Kana tambo yegitare ikadhonzwa, inotenderera nenzira inogona kutsanangurwa uchishandisa ma sines nema cosine. Kugadziriswa kweruzha kwemazuva ano kunowanzo shandisa trigonometry kushandura nekushandisa ma digital sound waves.
Mashandisirwo muJografi neKufamba
Muminda yejogirafi nekufamba, trigonometry inotibatsira kunzwisisa nzvimbo nemadaro ari pamusoro pePasi.
1. Kugadzira Mepu: Kuti vagadzire mamepu akarurama, vagadziri vemamepu vanoshandisa trigonometry kuverenga madaro nemakona pakati penzvimbo dziri pamusoro pePasi. Masisitimu ekuisa nzvimbo pasi rose (GPS) anoshandisawo trigonometry kuverenga nzvimbo yedu pasi pano.
2. Kufamba: Mukufamba mumhepo nemugungwa, kuziva kukwirira uye azimuth angles kwakakosha pakusarudza divi rekufamba. Pfungwa dzeTrigonometric dzinoita kuti vafambi varonge nzira dzinoshanda uye dzakachengeteka.
Mhedziso
Mabasa eSine neCosine ndiwo hwaro hwepfungwa dzakawanda uye mashandisirwo adzo muhupenyu hwezuva nezuva uye muzvidzidzo zvakasiyana-siyana zvesainzi. Kubva pazvivakwa zvakasimba kusvika kumafungu emagetsi anotibvumira kutaurirana, kubva pamimhanzi yatinonzwa kusvika kumamepu atinoshandisa, trigonometry iri kwese kwese.
Pfungwa isiriyo yekuti trigonometry inoshanda chete kumasayendisiti nemainjiniya chinhu chinofanira kugadziriswa. Kutaura zvazviri, kunzwisisa pfungwa huru dzakadai sesine necosine kunogona kuvhura maziso edu kuzvishamiso zvakawanda uye mashandisirwo anoshanda akatikomberedza. Kuongorora nekunzwisisa mabasa aya hakungowedzere ruzivo rwedu rwemasvomhu chete asiwo kunovandudza kunzwisisa kwedu nyika.
Saka, ungave uri mudzidzi, nyanzvi, kana kuti munhu anoda kuziva zvakawanda, hapana chikonzero chekusaedza kunzwisisa nekunzwisisa basa rinokosha rinoitwa nesine necosine muhupenyu hwedu.
