Video: Daim ntawv trigonometric yog dab tsi?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
2 Daim ntawv Trigonometric ntawm ib tug Complex Number. Cov daim ntawv trigonometric z = a + bi yog. z = r(cos θ + i sin θ), where r = |a + bi| yog lub modulus ntawm z, thiab tan θ = b.
Ib yam li ntawd, nws tau nug, yog Polar daim ntawv tib yam li Trig daim ntawv?
Trigonometric los yog Polar Daim Ntawv ntawm ib tug Complex Number (r cis θ) Nyob rau hauv cov piv txwv saum toj no, peb graphed lub complex tooj z = a + bi nyob rau hauv lub rectangular coordinate system. Nco qab tias muaj lwm qhov kev tswj hwm peb tuaj yeem siv tau, lub polar tswj qhov system. Qhov no tshiab daim ntawv yog hu ua daim ntawv trigonometric ntawm tus lej complex.
Kuj Paub, dab tsi yog r hauv de moivre's Theorem? De Moivre's theorem tuaj yeem txuas ntxiv mus rau cov hauv paus hniav ntawm cov lej tsis sib xws yielding cov hauv paus nth theorem . Muab tus lej complex z = r (cos α + i sinα), tag nrho cov hauv paus nth ntawm z yog muab los ntawm. qhov twg k = 0, 1, 2, …, (n − 1) Yog k = 0, cov qauv no yuav txo tau. Lub hauv paus no hu ua tus thawj xib fwb nth cag ntawm z.
Ib sab saum toj, dab tsi yog daim ntawv trigonometric ntawm tus lej nyuaj?
Trigonometry / Daim ntawv Trigonometric ntawm Complex Number . yog lub kaum sab xis tsim los ntawm tus lej complex ntawm ib tug polar graph nrog ib tug tiag tiag axis thiab ib tug kev xav axis. Qhov no tuaj yeem pom siv lub kaum sab xis trigonometry rau cov trigonometric muaj nuj nqi.
Yuav ua li cas koj sau cov zauv complex nyob rau hauv daim ntawv exponential?
Exponential Form ntawm a Complex Number . Yog koj muaj ib tug tus lej complex z = r(cos(θ) + i sin(θ)) sau ua polar daim ntawv , koj tuaj yeem siv Euler tus qauv rau sau nws txawm ntau concisely nyob rau hauv daim ntawv exponential :z = re^(iθ).
Pom zoo:
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