Isizinda kanye Nobubanzi Bemisebenzi ye-Trigonometric
Umsebenzi | Domain | Ibanga |
---|---|---|
isiqephu u03b8 | R u2013 {nu03c0, n u2208 Z} | R |
isiqephu u03b8 | R u2013 {(2n+1)u03c0/2, n u2208 Z} | (u2013 u221e, -1] u222a [1, u221e) noma, {y: y u2208 R, y u2265 1 noma y u2264 u20131} |
cose u03b8 | R u2013 {nu03c0, n u2208 Z} | (u2013 u221e, -1] u222a [1 , u221e) noma, {y: y u2208 R, y u2265 1 noma y u2264 u20131} |
Lapha, Usithola kanjani isizinda nobubanzi be-secant ne-Cosecant?
Ingabe i-secant inomkhawulo? Umsebenzi awuchazwa kokuthi 90, futhi ukusondela ku-90 ukusuka kwesokunxele kuvame ukuya kokungapheli, kuyilapho ukusondela ku-90 ukusuka kwesokudla kuvame ukuya kokungapheli okungalungile. Esimweni esinjalo, umkhawulo wesekhenti awukho. Ngomsebenzi we-secant, lokhu kuzokwenzeka ngo-90 futhi kuzo zonke izikhawu ze-180 noma yikuphi ukusuka kuyo.
Ukwengeza Buyini ububanzi be-sec 2x? Isibopho esiphansi sobubanzi sesekhenti sitholwa ngokufaka esikhundleni sobukhulu obunegethivu be-coefficient endaweni yokubala. Umkhawulo ongaphezulu wobubanzi we-secant utholwa ngokufaka esikhundleni sobukhulu obuphozithivu be-coefficient endaweni yokubala. Ububanzi bu y≤−1 y ≤ - 1 noma y≥1 y ≥ 1.
Iyini isizinda sesekhondi 2? isizinda sekh^2(x)
x 2 | x □ | · |
---|---|---|
(☐) ' | ddx | θ |
Iyini isizinda kanye nobubanzi be-Secx?
Igrafu yomsebenzi we-secant ibukeka kanje: Isizinda somsebenzi y=sec(x)=1cos(x) siphinde sibe zonke izinombolo zangempela ngaphandle kwamanani lapho i-cos(x) ilingana no-0 , okungukuthi, amanani π2 +πn awo wonke izinombolo n . Ububanzi bomsebenzi ngu y≤−1 noma y≥1 .
Yini i-secant eyisikwele esingu-0? I-secant iwukuphindaphinda kwe-cosine. I-cosine ka-0 ichazwe kahle, futhi ingu-1. Ngakho-ke, isiqephu sika-0 sibuye sibe ngu-1. Futhi isikwele sesiqephu sika-0 singu-XNUMX. 1² = 1.
Iyini isizinda seSinx? Igrafu ethi y=sin(x) ifana negagasi elizulazula unomphela phakathi kuka- -1 no-1, esimweni esiziphinda njalo ngamayunithi angu-2π. Ngokuqondile, lokhu kusho ukuthi isizinda sesono(x) zonke izinombolo zangempela, futhi ububanzi bungu-[-1,1].
Siyini isizinda nobubanzi?
Isizinda somsebenzi yisethi yamanani esivunyelwe ukuwaxhuma kumsebenzi wethu. Leli sethi lingamanani angu-x kumsebenzi ofana no-f(x). Ububanzi bomsebenzi ngu isethi yamanani ethathwa umsebenzi.
Futhi Iyini ububanzi be-Arctan? Isizinda se-arctan(x) yizo zonke izinombolo zangempela, ububanzi be-arctan busuka −π/2 kuya ku-π/2 amarediyani ngokukhethekile . Umsebenzi we-arctangent unganwetshwa kuzinombolo eziyinkimbinkimbi. Kulokhu isizinda yizo zonke izinombolo eziyinkimbinkimbi.
Ikuphi i-Secx engachazwanga?
Ukuhlaziya Amagrafu we-y = sec x kanye ne-y = cscx
Qaphela ukuthi umsebenzi awuchazwanga lapho i-cosine ingu-0, okuholela kuma-asymptote aqondile athiπ2, 3π2, 3π 2, njll. Ngenxa yokuthi i-cosine ayilokothi ibe ngaphezu kuka-1 ngevelu eliphelele, i-secant, ekubeni i-reciproc, ayisoze yaba ngaphansi kuno-1 senani eliphelele.
Yini i-secant eyisikwele sika-pi ngaphezu kuka-3? Inani eliqondile lesekhondi(π3) isekhondi ( π 3 ) liyi 2 .
Ilingana nani iSec 2 theta?
I-TRIGONOMETRIC IDENTITIES
a) | Isono 2 θ + cos 2 θ | 1. |
---|---|---|
b) | 1 + tan 2 θ | isekhondi 2 θ |
c) | 1 + izindleko 2 θ | csc 2 θ |
ngo') | Isono 2 θ | 1 − isiqephu 2 θ. |
cos 2 θ | 1 − isono 2 θ. |
Iyini ifomula ye-secant?
Ubude be-hypotenuse, uma buhlukaniswa ngobude bohlangothi oluseduze, buzonikeza i-engeli ekhonjiwe kunxantathu ongakwesokudla. Ngakho-ke, ifomula yayo eyisisekelo ithi: isekhondi X = frac{Hypotenuse}{Adjacent Side} Futhi, kuwukubuyelana kwevelu ye-cosine.
Iyini isizinda se-TANX? Isizinda: Ngakho isizinda se-f(x) := tanx sithi zonke izinombolo zangempela ngaphandle x = π 2 + kπ, k inombolo ephelele. Yonke imisebenzi ye-trig iyenzeka ngezikhathi ezithile ngakho ayiyona into eyodwa kuya koyedwa.
Iyini isizinda se-Ln? Ngakho isizinda si (0+∞). Okukhiphayo kwe-ln akukhawulelwe: yonke inombolo yangempela iyenzeka. Ngakho ububanzi bungu-R noma (–∞+∞).
Yini isizinda se-SEC θ?
Isizinda sesekhondi(θ) sithi noma iyiphi inombolo yangempela leyo. uma ususwa u-π2 , akuyona inombolo ephelele yokuphindaphinda ka-π . Ezibhalweni zezibalo, kunjalo. {x∣x=(k+12)π,k∈RZ} Qaphela ukuthi isizinda sika sec(θ) kanye nethi tan(θ) ziyefana.
Ubhala kanjani ububanzi? Qaphela ukuthi isizinda nobubanzi kuhlala kubhalwe kusuka amanani amancane kuya kwamakhulu, noma ukusuka kwesobunxele kuye kwesokudla kusizinda, futhi ukusuka phansi kwegrafu ukuya phezulu kwegrafu ngobubanzi.
Ngabe ulithola kanjani ibanga?
Ububanzi bubalwa nge ukususa inani eliphansi kunani eliphakeme kunawo wonke.
Ulithola kanjani ibanga lika-f? Sekukonke, izinyathelo zokuthola ububanzi bomsebenzi nge-algebra yilezi:
- Bhala phansi u-y=f(x) bese uxazulula isibalo sika-x, unikeze okuthile kwefomu elithi x=g(y).
- Thola isizinda sika-g(y), futhi lokhu kuzoba ububanzi buka-f(x). …
- Uma ungabonakali ukuxazulula okuthi x, bese uzama ukwenza igrafu umsebenzi ukuze uthole ububanzi.
Kungani ububanzi be-arcsin?
Kusho ukuthi kukhona a,b∈[0;π],a≠b, leso sono(a)=isono(b). Lokhu akulula kakhulu ngoba i-arcsin izokwenziwa inani eliningi. Kumpikiswano eyodwa kuzoba khona amanani amabili. Kungakho ububanzi obunjalo bukhethwa ukuthi isono singumjovo ngakho-ke i-arcsin ingumsebenzi.
Luyini uhla lwe-arcsin? Lokhu okuhlukile komsebenzi we-sine, kwehliswe kwaba isikhawu lapho kuba monotonous futhi kugcwalisa bonke ububanzi, kunomsebenzi ophambene obizwa ngokuthi y=arcsin(x) . Inobubanzi [−π2,π2] kanye nesizinda sisuka ku-−1 siye ku-1.
Kungani ububanzi be-arcsin bukhawulelwe?
Ububanzi be-arcsin(x) bukhawulelwe ngoba uma kungenjalo, inani elinikeziwe lika-x lingakhiqiza ama-engeli amaningi (inombolo engapheli yama-engeli). Lokho kungenza i-arcsin(x) engakhawulelwe ingabi umsebenzi.
Iyiphi i-engeli engachazwanga i-secant? I-Secant iwukuphindaphinda kwe-cosine, ngakho-ke i-secant ye noma iyiphi i-engeli x okumele i-cos x = 0 ingachazwa ngayo, njengoba izoba nenani elilingana no-0. Inani le-cos (pi/2) lingu-0, ngakho i-secant yokuthi (pi)/2 kumelwe ingachazwa.
Yini i-secant eyisikwele sika-pi ngaphezu kuka-4?
Inani eliqondile lesekhondi(π4) isekhondi ( π 4 ) liyi 2-2 .
Ingabe i-secant eyisikwele ilingana no-1 phezu kwe-cosine oyisikwele?
I-secant ka-x ingu-1 ihlukaniswa nge-cosine ka-x: isekhondi x = 1 cos x , futhi i-cosecant ka-x ichazwa njengo-1 ehlukaniswa ngo-sine ka-x: csc x = 1 isono x. = tan 5π 4.
Ikuphi i-SEC 2x engachazwanga? secx ayichazwanga ku −π2 kanye no-π2 , ngakho ayiqhubeki esikhaleni esivaliwe, [−π2,π2] . Iyaqhubeka ngesikhathi esivulekile (−π2,π2) .