Izilinganiso ze-Trigonometric ziyithuluzi eliwusizo kakhulu kwizibalo. Asetshenziselwa ukukala ama-engeli kanxantathu. Zingasetshenziswa futhi ukuthola ubude bohlangothi olulodwa lukanxantathu uma wazi ubude bolunye uhlangothi kanye ne-engeli phakathi kwazo.
Kunezilinganiso ezintathu eziyinhloko ze-trigonometric: i-sine, i-cosine ne-tangent. Ngasinye salezi zizathu simelelwe uhlamvu lwesiGreki. I-sine imelelwa uhlamvu sigma (σ), i-cosine imelelwa uhlamvu u-kappa (κ) kanti i-tangent imelwe uhlamvu u-tau (τ).
Ukuze usebenzise izilinganiso ze-trigonometric, kuyadingeka ukwazi ubude okungenani bohlangothi olulodwa lukanxantathu kanye ne-engeli ezakha phakathi kwazo. Kusukela kule datha, ubude bolunye uhlangothi lukanxantathu bungabalwa.
Ngokwesibonelo, ake sithi unonxantathu one-engeli engu-30° nohlangothi luka-5 cm. Kulokhu, ubude bolunye uhlangothi lukanxantathu bungabalwa kusetshenziswa i-trigonometric tangent ratio. Ifomula yokubala i-tangent ye-engeli ithi:
tangent (θ) = sine (θ) / cosine (θ)
Esibonelweni sethu, i-tangent ye-engeli engu-30° ithi:
tangent (30°) = sine (30°) / cosine (30°)
= 0,5/0,866
= 0,58
Ngakho-ke, ubude bolunye uhlangothi lukanxantathu buyi:
5cm*0,58
= 2,9cm
Izilinganiso ze-Trigonometric | Thola uhlangothi | Isibonelo 1
https://www.youtube.com/watch?v=CRg5jQRj1Hg
Izilinganiso ze-Trigonometric Kunxantathu Yesokudla Exazululiwe Izivivinyo Zezinga 1
https://www.youtube.com/watch?v=rj0kkRM-JsM
Yiziphi izilinganiso ze-trigonometric nezibonelo?
I-Trigonometry ichazwa njengocwaningo lobudlelwano phakathi kwezakhi zikanxantathu, ikakhulukazi izilinganiso zama-engeli nezinhlangothi. Izilinganiso ze-Trigonometric zisetshenziselwa ukubala ubude noma isiqondiso sento eyodwa ngokusekelwe ubude noma isiqondiso senye into. Isibonelo, isilinganiso se-sine sisetshenziselwa ukubala ubude bohlangothi olulodwa lukanxantathu ngokusekelwe kubude bohlangothi oluphambene ne-engeli ecatshangwayo.
Yiziphi izilinganiso ze-trigonometric ezi-6?
Izilinganiso ze-trigonometric eziyisithupha ziwubudlelwane obulula nobuyisisekelo phakathi kwezinhlangothi zikanxantathu ongakwesokudla. Zisetshenziswa kakhulu kwizibalo, i-physics kanye nobunjiniyela. Kukhona izilinganiso ze-trigonometric eziyisithupha: ama-sines amathathu, ama-cosine amathathu, nama-tangent amathathu. Ngayinye yalezi zilinganiso eziyisithupha inomsebenzi wayo ophambene: ama-arcsine, ama-arccosine, nama-arctangent.
Ahlukaniswa kanjani izilinganiso ze-trigonometric?
Kunezindlela eziningana zokuhlukanisa izilinganiso ze-trigonometric. Enye yezindlela ezivame kakhulu isekelwe i-engeli ecatshangelwayo, ngoba izilinganiso ze-trigonometric zibalwa kusetshenziswa amanani emilenze kanxantathu ngokuphathelene nolunye lwezinhlangothi zalo. Ngokuya nge-engeli, singakhuluma ngezilinganiso ze-sine, i-cosine ne-tangent. Enye indlela yokuwahlukanisa isekelwe ekutheni i-engeli i-acute, ilungile noma i-obtuse.
Iyini imisebenzi engu-6 ye-trigonometric kanye namafomula ayo?
Imisebenzi eyisithupha ye-trigonometric yakudala i-sine, i-cosine, i-tangent, i-secant, i-cosecant ne-cotangent. Eminye imisebenzi ethuthuke kakhulu ingangezwa kulokhu, njenge-arcsine, i-arccosine, i-arctangent, njll.
Amafomula abo ahlukene yilawa:
sine(x) = cosine(90-x) = tangent(cotangent(x)) = 1/cosine(x)
isiqephu(x) = 1/sine(x)
i-cosecant(x) = 1/sine(x) = i-cosine(cotangent(x))
i-cotangent(x) = 1/tangent(x)
Eminye imisebenzi ethuthuke kakhulu ye-trigonometric yilena:
i-arcsine(x)
i-arccosine(x)
i-arctan(x)
njll
Uyini umqondo wezilinganiso ze-trigonometric?
Umqondo wezilinganiso ze-trigonometric yilowo wama-engeli kanxantathu. Izilinganiso ze-Trigonometric zisetshenziselwa ukuthola isilinganiso sama-engeli kanxantathu.
Izilinganiso ze-trigonometric zisetshenziswa kanjani empilweni yansuku zonke?
Izilinganiso ze-Trigonometric zisetshenziswa ekuphileni kwansuku zonke ngezindlela eziningi. Isibonelo, zingasetshenziswa ukubala ubude bento, ukuthambekela kwento, noma ibanga phakathi kwezinto ezimbili. Angasetshenziswa futhi ukubala indawo yento noma umthamo wento.
Yiziphi izinhlelo zokusebenza izilinganiso ze-trigonometric enazo?
Kukhona ukusetshenziswa okuhlukahlukene kwezilinganiso ze-trigonometric ekuphileni kwansuku zonke nakusayensi. Ezinye zalezi zicelo yilezi:
• Kubunjiniyela, izilinganiso ze-trigonometric zisetshenziswa ukubala ama-engeli okuthambekela nemithambeka yendawo, kanye nokuklama amabhuloho nezakhiwo.
• Ekwakhiweni kwezakhiwo, izilinganiso ze-trigonometric zisetshenziswa ukubala ubude besakhiwo noma ubude bodonga.
• Kwezokwelapha, izilinganiso ze-trigonometric zisetshenziswa ukubala ibanga phakathi kwamaphoyinti amabili emzimbeni womuntu, njengebanga eliphakathi kwenhliziyo nesibindi.
• Ku-astronomy, izilinganiso ze-trigonometric zisetshenziswa ukubala ibanga lezinto zasemkhathini.
Kungani kubalulekile ukufunda izilinganiso ze-trigonometric?
Izilinganiso ze-Trigonometric zibalulekile ngoba zisivumela ukuba sibale ama-engeli ngonxantathu. Ziphinde zisivumele ukuthi sithole ubude bohlangothi olulodwa lukanxantathu uma sazi ezinye izinhlangothi ezimbili.
