Leej twg tsim txoj cai ntawm kev txhaum?

2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36

Johannes von Muller

Ib yam li ntawd, tib neeg nug, leej twg nrhiav tau txoj cai ntawm sines thiab cosines?

Euclid's Elements paved txoj kev rau kev nrhiav pom txoj cai ntawm cosines. Nyob rau hauv lub xyoo pua 15th, Jamshīd al-Kāshī , ib tug Persian lej thiab astronomer, muab thawj cov lus qhia meej ntawm txoj cai ntawm cosines nyob rau hauv ib daim ntawv haum rau triangulation.

Tom qab ntawd, lo lus nug yog, vim li cas peb thiaj siv txoj cai ntawm kev txhaum? Cov txoj cai ntawm sines tau ua siv los xam cov seem ntawm daim duab peb sab thaum ob lub kaum sab xis thiab ib sab yog paub-ib txheej txheem hu ua triangulation. Nws ua tau kuj be siv thaum ob sab thiab ib qho ntawm cov ces kaum uas tsis nyob ib puag ncig yog paub.

Ua li no, leej twg nrhiav tau sine?

Cov haujlwm no yog tabulated hauv Almagest. Lub luag haujlwm ntawm cosine ua si chd(π−x), qaum ntawm lub kaum sab xis. Sine tau qhia los ntawm Abu'l Wafa nyob rau hauv lub xyoo pua 8th, raws li ib tug yooj yim txoj hauj lwm, thiab maj mam kis thawj zaug nyob rau hauv lub Muslim ntiaj teb no, thiab ces mus rau sab hnub poob.

Cov kev cai ntawm trigonometry yog dab tsi?

Txoj Cai Trigonometric

• Txoj cai lij choj rau txhua daim duab peb sab: Daim duab peb sab nrog sab ib sab ntawm lub kaum sab xis theta-1, sab b opposite lub kaum sab xis theta-2. thiab sab c ntxeev lub kaum sab xis theta-3. ua raws li cov cai no.
• Txoj Cai ntawm Sines: Sine (theta-1) / a = Sine (theta-2) / b = Sine (theta-3) / c.
• Law of cosines: a² = b² + c² - (2 x b x c x Cosine (theta-1)).