Video: Sinh thiab Cosh yog dab tsi?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Hyperbolic Functions. Ob txoj haujlwm tseem ceeb hyperbolic yog: sinh thiab cosh . (hais tias "ci" thiab " cosh ") sib x = ex -ib e−x 2.
Ib yam li ntawd, koj tuaj yeem nug, Cosh thiab Sinh txhais li cas?
Yog tias tsis yog lub voj voog, peb ua tib yam rau ib qho hyperbola txhais x^2-y^2=1, koj tau txais x thiab y qhov tseem ceeb hu ua cosh thiab sinh , nrog cosh ^2 (x)- sib ^2 (x) = 1. Lub voj voog trig ua haujlwm sin thiab cos yog txhais raws li qhov parameterization ntawm lub voj voog ntawm chav tsev (kwv yees 1) txhais los ntawm x^2 + y^2 = 1.
Tsis tas li ntawd, cosh muaj nuj nqi yog dab tsi? Hyperbolic muaj nuj nqi . Hauv lej, ua haujlwm hyperbolic yog cov analogs ntawm qhov zoo tib yam trigonometric muaj nuj nqi txhais rau lub hyperbola es tsis yog ntawm lub voj voog: ib yam li cov ntsiab lus (cos t, sin t) tsim ib lub voj voog nrog ib lub vojvoog, cov ntsiab lus ( cosh t, sinh t) tsim ib nrab ntawm lub equilateral hyperbola.
Piv txwv li, Sinh yog dab tsi?
Sinh yog lub hyperbolic sine muaj nuj nqi, uas yog lub hyperbolic analogue ntawm Sin circular function siv thoob plaws hauv trigonometry. Nws yog txhais rau cov lej tiag tiag los ntawm kev cia ob zaug ntawm thaj tsam ntawm axis thiab ib txoj kab hluav taws xob los ntawm lub hauv paus chiv keeb cuam tshuam rau chav tsev hyperbola. Sinh threads element-wise tshaj cov npe thiab matrices.
Lub tshuab xam zauv cosh yog dab tsi?
Xam cov hyperbolic cosine ntawm tus nqi. Hyperbolic trig ua haujlwm sinh(, cosh (, thiab tanh(yog ib qho piv txwv ntawm ib txwm trig functions, tab sis rau ib tug hyperbola, es tsis yog ib lub voj voog.
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