Mutemo we sine unoshandiswa kana tapihwa a) makona maviri nerimwe divi, kana b) mativi maviri nekona isina-inosanganisirwa. Mutemo wecosine unoshandiswa kana tapihwa angave a) mativi matatu kana b) mativi maviri nekona inosanganisirwa.
Saizvozvo, Unoshandisa sei mutemo wecosine kugadzirisa SSS?
Ndeupi musiyano uripo pakati pemutemo we sine uye mutemo we cosine? Mutemo wemasines unoshandisa mativi maviri chete uye makona akatarisana nawo nepo mutemo wekosine uchishandisa mativi matatu ese uye rimwe chete remativi rakatarisana nekona. Mutemo wemasines unoshandisa sine ratio ukuwo mutemo wecosine uchishandisa cosine ratio.
Unogona here kushandisa mutemo wemasina uye kusambonetseka nemutemo wemakosini? Aihwa, uye haugone kugadzirisa katatu uchishandisa mitemo yemasines uye mitemo yekosines.
Chechipiri Ko sine mutemo unogona kushandiswa pakona yekona here? The Sine Mutemo unogona kushandiswa mune chero katatu (kwete makona matatu ekurudyi chete) panozivikanwa divi nekona yaro yakatarisana. Iwe unongoda chete zvikamu zviviri zveSine Rule formula, kwete ese matatu. Iwe unozofanirwa kuziva kanenge peya imwe yedivi ine yakatarisana kona kuti ushandise iyo Sine Rule.
Mutemo weCosine ungashandiswa here kugadzirisa chero chetatu icho chinozivikanwa makona maviri nedivi?
Kureva kuti, takapihwa mamwe ruzivo nezve gonyotatu tinogona kuwana zvimwe. Muchiitiko ichi chishandiso chinobatsira kana iwe uchiziva mativi maviri uye yavo inosanganisirwa kona. Kubva ipapo, unogona kushandisa Mutemo weCosines kuwana iyo divi rechitatu. Inoshanda pane chero katatu, kwete chete makona matatu akarurama.
zvino Unogona here kutaura kushandiswa kwehupenyu chaihwo kwemutemo we cosines? Mutemo wecosine unoshandiswa munyika chaiyo nevaongorori kuti vawane divi risipo regonyo, uko mamwe mativi maviri anozivikanwa uye kona yakatarisana nedivi risingazivikanwe inozivikanwa. Mutemo we cosines unoshandiswawo pese panobatanidzwa katatu.
Ndeipi kesi isingagone kugadziriswa uchishandisa mitemo yeSines? Kana tapihwa mativi maviri nekona yakabatanidzwa yegonyo kana kuti tapihwa mativi matatu egonyo, hatigoni kushandisa Mutemo weSines nokuti hatigoni kumisa chero chiyero apo ruzivo rwakakwana runozivikanwa. Muzviitiko zviviri izvi tinofanira kushandisa Mutemo weCosines.
Mutemo weSines unogona kushandiswa kugadzirisa gonyo rekurudyi here?
Naizvozvo, mutemo wemasineni waishandiswa kumakona matatu ekurudyi inoshanda. Hongu, iyo mitemo inoshanda kune-kurudyi-angled triangles zvakare.
Unogona sei kushandisa sine uye cosine kugadzirisa oblique matatu matatu? Kufanana nemutemo we cosines, unogona kushandisa mutemo we cosines mukati nzira mbiri. Kutanga, kana iwe uchiziva makona maviri uye divi rakatarisana nerimwe rawo, saka unogona kuona divi rakatarisana nerimwe rawo. Semuyenzaniso, kana kona A = 30°, kona B = 45°, uye rutivi a = 16, zvino mutemo wemasines unoti (chivi 30°)/16 = (chivi 45°)/b.
Mutemo wemakosini ungashandiswa here kumakona matatu ekurudyi uye nemakona matatu asina kunaka?
Hongu, iyo mitemo inoshanda kune-kurudyi-angled triangles zvakare. Asi, hadzina kunyanya kunakidza ipapo: Kune △ABC ine θ=∠ABC kona yekurudyi, tinogona kuedza kushandisa mutemo wecosine nezve kona chaiyo, towana AC2=AB2+BC2−AB⋅BC⋅cosθ=AB2 +BC2, as cos90∘ = 0. Asi ichi hachisi chimwe chinhu kunze kwedzidziso yaPythagoras!
Unogona here kushandisa mutemo wecosine pamakona matatu ekurudyi? Ehe, sine uye cosine mitemo inogona kushandiswa kune ese matatu matatu ingava yekurudyi angled kana scalene. a/chivi A = b/chivi B = c/chivi C, hachisiyanise marudzi akasiyana-siyana emakona matatu. c^2 = a^2 + b^2 + 2ab cos C, haisiyanisi marudzi akasiyana-siyana emakona matatu.
Ko Mutemo weCosine unogona kushandiswa kumakona matatu ekurudyi uye asiri iwo matatu matatu here?
Hongu, iyo mitemo inoshanda kune-kurudyi-angled triangles zvakare. Asi, hadzina kunyanya kunakidza ipapo: Kune △ABC ine θ=∠ABC kona yekurudyi, tinogona kuedza kushandisa mutemo wecosine nezve kona chaiyo, towana AC2=AB2+BC2−AB⋅BC⋅cosθ=AB2 +BC2, as cos90∘ = 0. Asi ichi hachisi chimwe chinhu kunze kwedzidziso yaPythagoras!
Unoshandisa sei Mutemo weCosine nedivi rimwe chete?
"Sikweya yerimwe divi regonyo yakaenzana nehuwandu hwemakona emamwe mativi maviri kubvisa kaviri chigadzirwa chemamwe mativi maviri uye cosine yekona iri pakati pawo." Ziva kuti Mutemo weCosines unoshanda nekona IMWE chete uye mativi matatu mune imwe neimwe fomula.
Sei uchifunga kuti Mutemo weCosine unobatsira mukugadzirisa matambudziko neoblique triangles? Matatu matatu akadai anonzi oblique triangles. Mutemo weCosine unoshandiswa zvakanyanya kupfuura Mutemo weSines. Kunyanya, kana tichiziva mativi maviri egonyo uye kona yavo yakabatanidzwa, ipapo Mutemo we Cosines inotigonesa kuwana rutivi rwechitatu.
Mitemo ye sine uye cosine inobatsira sei muhupenyu hwedu hwezuva nezuva? Mazhinji-chaiwo epasirese mashandisirwo anosanganisira oblique matatu matatu, uko iyo Sine uye Cosine Mitemo inogona kushandiswa kuwana mamwe zviyero. Zvakakosha kuziva kuti ndechipi chishandiso chakakodzera. Tea Cosine Law inoshandiswa kutsvaga divi, kupihwa kona pakati pemamwe mativi maviri, kana kutsvaga kona yakapihwa mativi matatu ese.
Unogona sei kushandisa pfungwa dzemitemo yeSines uye cosines muhupenyu chaihwo maapplication?
Muhupenyu chaihwo, sine uye cosine mabasa anogona kushandiswa mukubhururuka muchadenga uye polar coordinates, mimhanzi, ballistic trajectories, uye GPS nenharembozha.
Sei mutemo wemakosini uchikosha? Mutemo wemakosini ndiwo inobatsira pakukombuta rutivi rwechitatu rwegonyo kana mativi maviri nemakona awo akavharirwa achizivikanwa, uye mukugadzirisa makona egonyo kana mativi matatu ose achizivikanwa.
Mutemo wemakosini ungashandiswa here kugadzirisa chero kona nhatu dzinozivikanwa nadzo makona maviri nedivi?
Kureva kuti, takapihwa mamwe ruzivo nezve gonyotatu tinogona kuwana zvimwe. Muchiitiko ichi chishandiso chinobatsira kana iwe uchiziva mativi maviri uye yavo inosanganisirwa kona. Kubva ipapo, unogona kushandisa Mutemo weCosines kuwana iyo divi rechitatu. Inoshanda pane chero katatu, kwete chete makona matatu akarurama.
Ko Mutemo weSines unogona kushandiswa kune kurudyi uye kwete kurudyi katatu? Mutemo weSines unoti mugonyo ripi zvaro rakapiwa, reshiyo yehurefu hwemativi ose kune sine yekona yakatarisana nayo inofanana kumativi ose matatu egonyo. Izvi ndezvechokwadi kune chero katatu, kwete makona matatu chaiwo.
Ndedzipi nzira dzinogoneka dzemutemo wecosines?
(1) kana mhinduro iri "haisi Chaiyo", katatu haipo (hapana mhinduro). (2) kana mhinduro iri "mbiri Chaiyo yakanaka tsika", pane maviri anobvira matatu matatu (2 mhinduro). (3) kana mhinduro iri "imwe yakanaka uye imwe yakaipa Chaiyo tsika", pane imwe yetatu (1 mhinduro).
Unogona here kushandisa Mutemo weSines uye cosine yekona yekona yekurudyi? Mutemo Mutemo. Trigonometry inotanga nereshiyo yekona yekona, uye inozopedzisira yatora matombo anokosha, Mutemo weCosines uye Mutemo weSines. Mitemo iyi yakatanga kubva pareshiyo dzegonyonhatu chaidzo saka yave kuzoshandira makotanhatu akarurama. Ndiyo tsananguro yesine, yakatarisana ne hypotenuse.
Mutemo wemakosini ungashandiswa pane chero katatu here?
Ehe, Mutemo weCosine unoshanda kune ese matatu matatu. Nekudaro, humbowo hunoenderana nechimiro chetatu, zvakanyanya, kuti urefu kubva kune imwe vertex inowira sei kune rimwe divi.