Dab tsi yog qhov inverse hyperbolic sine muaj nuj nqi?
Dab tsi yog qhov inverse hyperbolic sine muaj nuj nqi?

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Video: Dab tsi yog qhov inverse hyperbolic sine muaj nuj nqi?
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Cov hyperbolic sine muaj nuj nqi , sinhx, yog ib-rau-ib, thiab yog li ntawd muaj ib tug zoo-txhais thim rov qab , sinh-1x, qhia hauv xiav hauv daim duab. Los ntawm lub rooj sib tham, cosh−1x yog coj los txhais tau tias tus lej zoo y xws li x = coshy.

Tom qab ntawd, dab tsi yog inverse ntawm cosh?

Txoj haujlwm cosh yog txawm, yog li kev hais lus nws tsis muaj thim rov qab , rau qhov yooj yim tib yam uas qhov ua haujlwm g(t) = t2 tsis muaj thim rov qab . Tab sis yog hais tias peb txwv lub domain ntawm cosh haum, ces muaj ib thim rov qab . Ib txwm txhais ntawm cosh −1x yog tias nws yog tus lej tsis zoo uas nws cosh yog x.

Ib sab saum toj no, Arcosh yog dab tsi? arccosh (x) sawv cev rau qhov hloov pauv ntawm qhov ua haujlwm hyperbolic cosine. arccosh yog txhais rau kev sib cav sib ceg. Floating-point qhov tseem ceeb yog xa rov qab rau cov lus sib cav uas ntab. Floating-point intervals raug xa rov qab rau cov lus sib cav sib ceg ntab. Kev hu xov tooj tsis raug ntsuas tau raug xa rov qab rau feem ntau cov lus sib cav.

Tsis tas li ntawd, Sinh puas zoo ib yam li inverse sine?

Tsis yog, sib yog ib qho kev ua haujlwm ntawm hyperbolic sib . Kev txhaum ^-1 yog thim rov qab ntawm sib . Koj siv lub thim rov qab nrhiav cov ces kaum.

Dab tsi yog inverse ntawm Sinh?

Cov hyperbolic sine muaj nuj nqi, sib x, yog ib-rau-ib, thiab yog li ntawd muaj ib tug zoo-txhais thim rov qab , sib -1x, qhia hauv xiav hauv daim duab. Yuav kom invert lub hyperbolic cosine muaj nuj nqi, txawm li cas los xij, peb xav tau (raws li lub hauv paus square) txwv nws cov npe.

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