Ana amfani da ka'idar sine lokacin da aka ba mu ko dai a) kusurwoyi biyu da gefe daya, ko b) bangarori biyu da kusurwar da ba a haɗa da ita ba. Ana amfani da ka'idar cosine lokacin da aka bamu ko dai a) bangarori uku ko b) bangarori biyu da kusurwar da aka haɗa.
Hakazalika, Ta yaya kuke amfani da dokar cosines don magance SSS?
Menene bambanci tsakanin ka'idar sine da ka'idar cosine? Dokar sines tana amfani da bangarorin biyu kawai kuma kusurwoyin suna gaba da su yayin da dokar cosines ke amfani da dukkanin bangarorin guda uku kuma daya kawai daga cikin bangarorin da ke gaba da kwana. Dokar sines tana amfani da rabon sine yayin da ka'idar cosines ke amfani da rabon cosine.
Za a iya ko da yaushe amfani da dokar sines kuma kada ku damu da dokar cosines? A'a, kuma ba za ku iya warware triangle ta amfani da dokokin sines da dokokin cosines kawai ba.
Na biyu Shin za a iya amfani da dokar sine akan madaidaicin triangle? The Sine Ana iya amfani da ƙa'ida a kowane alwatika (ba kawai triangles masu kusurwar dama ba) inda aka san gefe da kishiyarsa. Za ku taɓa buƙatar sassa biyu kawai na dabarar Dokokin Sine, ba duka ukun ba. Kuna buƙatar sanin aƙalla guda biyu na gefe tare da kishiyar kusurwa don amfani da Dokokin Sine.
Za a iya amfani da Dokar Cosines don magance kowane alwatika wanda aka san kusurwoyi biyu da gefe?
Wato, idan aka ba da wasu bayanai game da triangle za mu iya samun ƙarin. A wannan yanayin kayan aiki yana da amfani lokacin da kuka san bangarorin biyu da kusurwar da aka haɗa su. Daga wannan, zaku iya amfani da Dokar Cosines don nemo gefe na uku. Yana aiki akan kowane alwatika, ba kawai madaidaitan alwatika ba.
to za ku iya buga ainihin aikace-aikacen dokar cosines? Ana amfani da dokar cosines a duniyar gaske ta masu bincike don nemo gefen triangle da ya ɓace, inda aka san sauran bangarorin biyu kuma an san kusurwar da ba a sani ba. Hakanan ana amfani da dokar cosines a duk lokacin da triangle ya shiga.
Wani lamari ne ba za a iya warware shi ta amfani da dokokin Sines? Idan aka ba mu gefe biyu da kusurwar da aka haɗa da triangle ko kuma idan an ba mu 3 gefen triangle., Ba za mu iya amfani da Dokar Sines ba saboda ba za mu iya saita kowane rabbai inda aka san isassun bayanai. A cikin waɗannan lokuta biyu dole ne mu yi amfani da Dokar Cosines.
Za a iya amfani da Dokar Sines don warware triangle dama?
Saboda haka, dokar sines ta yi amfani da triangles dama yana aiki. Ee, dokokin sun shafi triangles masu kusurwa dama kuma.
Ta yaya za ku yi amfani da sine da cosines don warware triangles na wucin gadi? Kamar dokar cosines, zaku iya amfani da dokar cosines a ciki hanyoyi biyu. Na farko, idan kun san kusurwoyi biyu, kuma gefen kishiyar daya daga cikinsu, to kuna iya tantance gefen da yake gaba da daya daga cikinsu. Misali, idan kwana A = 30°, kwana B = 45°, da gefe a = 16, to dokar sines ta ce (zunubi 30°)/16 = (zunubi 45°)/b.
Shin za a iya amfani da dokar cosines zuwa madaidaitan triangles da madaidaitan triangles?
Ee, dokokin sun shafi triangles masu kusurwa dama kuma. Amma, ba su da ban sha'awa musamman a can: Domin △ABC tare da θ=∠ABC kusurwar dama, za mu iya ƙoƙarin yin amfani da dokar cosine game da kusurwar dama, kuma mu sami AC2=AB2+BC2−AB⋅BC⋅cosθ=AB2 +BC2, as cos90∘ = 0. Amma wannan ba komai bane illa ka'idar Pythagoras!
Za a iya amfani da ka'idar cosine akan triangles masu kusurwa dama? Ee, Za'a iya amfani da dokokin sine da cosine don duk triangles ko madaidaicin kusurwa ko sikelin. a/sin A = b/sin B = c/sin C, baya banbanta tsakanin nau'ikan triangles daban-daban. c^2 = a^2 + b^2 + 2ab cos C, baya banbanta tsakanin nau'ikan triangles iri-iri.
Za a iya amfani da Dokar Cosines zuwa madaidaitan triangles da madaidaitan triangles?
Ee, dokokin sun shafi triangles masu kusurwa dama kuma. Amma, ba su da ban sha'awa musamman a can: Domin △ABC tare da θ=∠ABC kusurwar dama, za mu iya ƙoƙarin yin amfani da dokar cosine game da kusurwar dama, kuma mu sami AC2=AB2+BC2−AB⋅BC⋅cosθ=AB2 +BC2, as cos90∘ = 0. Amma wannan ba komai bane illa ka'idar Pythagoras!
Ta yaya kuke amfani da Dokar Cosines tare da gefe ɗaya kawai?
"Madaidaicin gefe ɗaya na triangle yana daidai da jimlar murabba'i na sauran bangarorin biyu ban da sau biyu samfurin sauran bangarorin biyu da madaidaicin kusurwar da ke tsakanin su." Lura cewa Dokar Cosines tana aiki tare da kusurwa DAYA kawai da bangarori uku a kowace dabara.
Me yasa kuke ganin Dokar Cosines tana da amfani wajen magance matsaloli tare da triangles na wucin gadi? Irin waɗannan triangles ana kiran su triangles na oblique. Ana amfani da Dokar Cosines sosai fiye da Dokar Sines. Musamman, lokacin da muka san bangarori biyu na triangle da kusurwar da suka haɗa, to, Dokar Cosines yana ba mu damar nemo gefe na uku.
Yaya amfani dokokin sine da cosine a rayuwarmu ta yau da kullun? Yawancin aikace-aikacen zahirin duniya sun haɗa da triangles na wucin gadi, inda za a iya amfani da Dokokin Sine da Cosine don nemo wasu ma'auni. Yana da mahimmanci don gano abin da kayan aiki ya dace. shayi Ana amfani da Dokar Cosine don nemo gefe, da aka ba da kwana tsakanin sauran bangarorin biyu, ko don nemo kwana da aka ba dukkan bangarorin uku.
Ta yaya za ku iya amfani da ra'ayoyin dokokin Sines da cosines a aikace-aikacen rayuwa ta ainihi?
A rayuwa ta ainihi, ana iya amfani da ayyukan sine da cosine a cikin jirgin sararin samaniya da haɗin kai na polar, kiɗa, yanayin ballistic, da GPS da wayoyin hannu.
Me yasa dokar cosines ke da mahimmanci? Dokar cosines ita ce yana da amfani don ƙididdige gefe na uku na triangle lokacin da aka san bangarori biyu da kusurwar da ke kewaye, kuma a cikin lissafin kusurwoyin triangle idan an san dukkan bangarorin uku.
Za a iya amfani da dokar cosines don warware kowane triangle wanda aka san kusurwoyi biyu da gefe don shi?
Wato, idan aka ba da wasu bayanai game da triangle za mu iya samun ƙarin. A wannan yanayin kayan aiki yana da amfani lokacin da kuka san bangarorin biyu da kusurwar da aka haɗa su. Daga wannan, zaku iya amfani da Dokar Cosines don nemo gefe na uku. Yana aiki akan kowane alwatika, ba kawai madaidaitan alwatika ba.
Za a iya amfani da Dokar Sines zuwa ga madaidaitan triangles na dama da marasa dama? Dokar Sines ta ce a kowace alwatika da aka bayar, rabon kowane tsayin gefe da gefen kishiyar kusurwar sa daidai yake ga dukkan bangarorin uku na triangle. Wannan gaskiya ne ga kowane triangle, ba kawai madaidaitan triangles ba.
Menene ma'auni mai yuwuwa ga dokar cosines?
(1) idan mafita ba "ba Gaskiya bane", triangle ba ya wanzu (ba mafita). (2) idan mafita shine "biyu na gaske masu kyau dabi'u", akwai yiwuwar triangles guda biyu (2 mafita). (3) idan maganin shine "ɗaya tabbatacce kuma ɗaya mara kyau na gaske", akwai triangle ɗaya (1 bayani).
Za ku iya amfani da Dokar Sines da cosines na madaidaicin triangle? Doka Doka ce. Trigonometry yana farawa da daidaitattun ma'auni na alwatika, kuma a ƙarshe yana samun kayan ado, Dokar Cosines da Dokar Sines. Waɗannan dokokin sun fara ne daga ma'auni na madaidaitan alwatika don haka za su yi aiki don madaidaitan triangle. Wannan shine ma'anar sine, sabanin hypotenuse.
Za a iya amfani da dokar cosines akan kowane triangle?
Haka ne, Dokar Cosines tana aiki ga duk triangles. Koyaya, hujjar ta dogara da sifar alwatika, daidai, yadda tsayin daka daga wasu juzu'in ya faɗo a gefe.