Umqondo Wezilinganiso ze-Trigonometric.

Isibuyekezo sokugcina: Septemba 26, 2022

Izilinganiso ze-Trigonometric ziyisethi yobudlelwane bezibalo phakathi kwezinhlangothi zikanxantathu ongakwesokudla. Lobu budlelwano buvezwa ngokwama-engeli akha unxantathu.

Kunezilinganiso ezintathu eziyisisekelo ze-trigonometric: sine (isono), i-cosine (cos), ne-tangent (tan). Izilinganiso ze-Trigonometric zingasetshenziswa ukuxazulula izinkinga ku-geometry, i-physics, nezibalo ngokujwayelekile.

Isibonelo, i-tangent ye-engeli ilingana ne-quotient phakathi kwezinhlangothi eziphambene zikanxantathu. Ngale ndlela, uma sazi i-tangent ye-engeli kanye nenani lolunye lwezinhlangothi eziphambene, singabala inani lolunye uhlangothi.

Okunye ukusetshenziswa kwezilinganiso ze-trigonometric ukunqunywa kwama-engeli. Isibonelo, uma silazi inani le-tangent ye-engeli, singakwazi ukunquma inani le-engeli sisebenzisa okuphambene komsebenzi we-tangent (okwaziwa nangokuthi i-arctangent).

Ngokuvamile, izilinganiso ze-trigonometric zingasetshenziswa ukuxazulula noma iyiphi inkinga ehlanganisa onxantathu abalungile. Nokho, kubalulekile ukukhumbula ukuthi ukubala izilinganiso ze-trigonometric kudinga ulwazi oluthile lwezibalo ezithuthukile.

Izilinganiso ze-Trigonometric | Ukuxazulula izinkinga Isibonelo 1

https://www.youtube.com/watch?v=D8_VzxGvOuE

I-TRIGONOMETRIC RATIOS – THEory KANYE NEZINKINGA

https://www.youtube.com/watch?v=mnPnuSvsa6k

Yiziphi izilinganiso ze-trigonometric nezibonelo?

Izilinganiso ze-Trigonometric zisetshenziselwa ukuhlobanisa izinhlangothi zikanxantathu. Isibonelo, i-sine yesilinganiso iwuhlangothi oluphambene ne-engeli ye-sine ehlukaniswe uhlangothi oluncikene ne-engeli. Izilinganiso ze-cosine ne-tangent zibalwa ngendlela efanayo. Ezinye izilinganiso ze-trigonometric zihlanganisa i-secant, i-cosecant, ne-cubic tangent. Lezi zilinganiso zisetshenziswa ezinhlelweni zezibalo nezomzimba, njenge-astronomy, ukuzulazula, ukuhlola, kanye nemishini.

Yiziphi izilinganiso ze-trigonometric ezi-6?

Izilinganiso eziyisithupha ze-trigonometric i-sine (isono), i-cosine (cos), i-tangent (tan), i-secant (isekhondi), i-cosecant (csc) ne-cotangent (umbhede). Yonke le misebenzi ihlobene ne-engeli kanxantathu, futhi ingasetshenziswa ukubala inani lohlangothi lukanxantathu.

Ahlukaniswa kanjani izilinganiso ze-trigonometric?

Isilinganiso se-trigonometric ubuhlobo bezibalo phakathi kwama-engeli nezinhlangothi zikanxantathu ongakwesokudla. Izilinganiso ze-Trigonometric zihlukaniswa zibe ezintathu: isilinganiso se-sine, isilinganiso se-cosine kanye nesilinganiso se-tangent.

Iyini imisebenzi engu-6 ye-trigonometric kanye namafomula ayo?

Imisebenzi eyisisekelo ye-trigonometric eyisithupha namafomula ayo yilena:

Isine (isono x): sin x = cos (π/2 – x)
I-Cosine (cos x): cos x = isono (π/2 – x)
I-Tangent (tan x): tan x = sin x / cos x
I-cotangent (umbhede x): umbhede x = cos x / isono x
I-Secant (isekhondi x): isekhondi x = 1 / cos x
I-cosecant (csc x): csc x = 1 / isono x

Iyini isilinganiso se-trigonometric?

Isilinganiso se-trigonometric ubuhlobo phakathi kwezinhlangothi zikanxantathu obuhilela enye yama-engeli kanxantathu. Ku-trigonometry, izilinganiso ze-trigonometric zisetshenziswa ukubala ubude nama-engeli konxantathu.

Izilinganiso ze-trigonometric zisetshenziswa kanjani empilweni yansuku zonke?

Izilinganiso ze-Trigonometric zisetshenziswa ekuphileni kwansuku zonke ukubala amabanga phakathi kwezinto, njengokulinganisa ubude besakhiwo. Angasetshenziswa futhi ukunquma i-engeli yokuthambekela kwendawo, njengalapho wakha izitebhisi noma amarempu.

Yiziphi izilinganiso eziyinhloko ze-trigonometric?

Izilinganiso eziyinhloko ze-trigonometric i-sine, i-cosine ne-tangential. I-sine wave isilinganiso esisetshenziswa ukubala i-engeli yokuthambekela kwento ngokuhlonishwa okuvundlile. I-cosine isetshenziselwa ukubala i-engeli yokuthambekela kwento ngokuphathelene nokuma mpo. I-tangential isetshenziselwa ukubala i-engeli phakathi kwezinto ezimbili.

Izilinganiso ze-trigonometric zingasetshenziswa kanjani ukuxazulula izinkinga?

Izilinganiso ze-Trigonometric zingasetshenziswa ezinkingeni ngezindlela ezimbalwa. Isibonelo, uma ubazi ubude bolunye uhlangothi lukanxantathu futhi ufuna ukuthola ubude bolunye uhlangothi, ungasebenzisa ubudlelwano phakathi kwezinhlangothi zikanxantathu nama-engeli ukuze uthole inani elingaziwa. Izilinganiso ze-Trigonometric zingasetshenziswa futhi ukuthola umthambeka wendawo, ibanga phakathi kwamaphoyinti amabili, usayizi wento esesithombeni, nezinye izinto eziningi.