Domain uye Range yeTrigonometric Mabasa
basa | Domain | dungwerungwe |
---|---|---|
mubhedha u03b8 | R u2013 {nu03c0, n u2208 Z} | R |
yakaoma u03b8 | R u2013 {(2n+1)u03c0/2, n u2208 Z} | (u2013 u221e, -1] u222a [1, u221e) kana, {y: y u2208 R, y u2265 1 kana y u2264 u20131} |
cosec u03b8 | R u2013 {nu03c0, n u2208 Z} | (u2013 u221e, -1] u222a [1 , u221e) kana, {y: y u2208 R, y u2265 1 kana y u2264 u20131} |
Hereof, Iwe unowana sei iyo domain uye huwandu hwesecant uye Cosecant?
Secant ine muganhu here? Basa racho harina kutsanangurwa pa90, uye kuswedera makumi mapfumbamwe kubva kuruboshwe kunoenda kune infinity, uku kuswedera makumi mapfumbamwe kubva kurudyi kunoenda kune yakaipa infinity. Panyaya iyi, muganhu we secant haupo. Kune iyo secant basa, izvi zvichaitika pa90 uye panguva yega yega ye180 chero nzira kubva mairi.
Kuwedzera Ndeipi huwandu hwesec 2x? Iyo yakaderera muganhu weiyo secant inowanikwa nekutsiva iyo yakaipa ukuru hweiyo coefficient muequation. Mucheno wepamusoro wechikamu chesecant unowanikwa nekutsinhanisa hukuru hwakanaka hwe coefficient muequation. Range iri y≤−1 y ≤ – 1 kana y≥1 y ≥ 1 .
Chii chinonzi domain ye sec 2? domain sec^2(x)
x 2 | x □ | · |
---|---|---|
(☐) ' | ddx | θ |
Chii chinonzi domain uye huwandu hweSecx?
Girafu yebasa remukati rinotaridzika seizvi: Nzvimbo yebasa y=sec(x)=1cos(x) zvakare nhamba dzese chaidzo kunze kwekukosha uko cos(x) yakaenzana ne0 , kureva kuti kukosha π2 +πn kune ese nhamba n . Mutsara webasa ndewe y≤−1 kana y≥1 .
Chii chinonzi secant squared 0? Iyo secant ndiyo inodzokororwa yekosine. Kosine ya 0 inotsanangurwa zvakanaka, uye i 1. Nokudaro, chikamu cha 0 zvakare 1. Uye mativi echikamu chechikamu che 0 1² = 1.
Chii chinonzi domain yeSinx? Girafu rekuti y=chivi(x) rakafanana nesaisai rinotenderera nekusingaperi pakati -1 na1, muchimiro chinozvidzokorora mayunitsi 2π ega ega. Kunyanya, izvi zvinoreva kuti nzvimbo yechivi(x) dzose nhamba chaidzo, uye uwandu huri [-1,1].
Chii chinonzi domain uye range?
The domain of a function is the set of values dzatinobvumirwa kubatanidza mubasa redu. Iyi seti ndeye x values mune basa rakaita sef(x). Mutsara webasa ndewe seti yezvinokosha izvo basa rinotora.
Zvakare Ndeipi mhando yeArctan? Iyo domain ye arctan(x) inhamba dzese chaidzo, huwandu hwe arctan hunobva −π/2 kusvika π/2 radians zvakasarudzika . Basa re arctangent rinogona kuwedzerwa kusvika kunhamba dzakaoma. Muchiitiko ichi domain ine nhamba dzese dzakaoma.
Ndekupi Secx isina kutsanangurwa?
Kuongorora maGrafu e y = sec x uye y = cscx
Cherechedza kuti basa racho harina kutsanangurwa apo cosine iri 0, inotungamira kune yakatwasuka asymptotes atπ2, 3π2, 3π 2, zvichingodaro. Nekuti iyo cosine haina kumbobvira yadarika 1 mukukosha kwakakwana, iyo secant, iri iyo inopindirana, haizombove isingasviki 1 mukukosha kwakakwana.
Chii chinonzi secant yakapetwa kapi pamusoro pe3? Hukoshi chaihwo hwe sec(π3) sec ( π 3) 2 .
Chii chinonzi Sec 2 theta?
TRIGONOMETRIC IDENTITIES
a) | chivi 2 θ + cos 2 θ | 1. |
---|---|---|
b) | 1 + tan 2 θ | Sec 2 θ |
c) | 1 + mutengo 2 θ | csc 2 θ |
pa') | chivi 2 θ | 1 − cos 2 θ. |
cos 2 θ | 1 − chivi 2 θ. |
Chii chinonzi secant formula?
Hurefu hwe hypotenuse, kana hwapatsanurwa nehurefu hwedivi rakatarisana, huchapa secant yekona mugonyo rekurudyi. Naizvozvo, iyo yakakosha formula ndeye: sec X = frac{Hypotenuse}{Adjacent Side} Zvakare, ndiko kudzokororwa kweiyo cosine kukosha.
Chii chinonzi domain cheTANX? Domain: Saka iyo domain ye f(x) := tanx iri nhamba dzose chaidzo kunze x = π 2 + kπ, k nhamba yakazara. Yese ye trig mabasa ndeye periodic uye nekudaro haisi imwe-kune-imwe.
Chii chinonzi domain yeLn? Saka iyo domain iri (0+∞). Izvo zvinobuda zveln hazvibvumidzwe: nhamba yese chaiyo inogoneka. Saka chiyero ndiR kana (–∞ +∞).
Chii chinonzi domain cheSEC θ?
Iyo domain ye sec(θ) ndeye chero nhamba chaiyo iyoyo. kana yabviswa π2 , haisi nhamba yakazara ye π . Muzvinyorwa zvemasvomhu, ndizvo. {x∣x=(k+12)π,k∈RZ} Ziva kuti nzvimbo ye sec(θ) uye tan(θ) zvakafanana.
Unonyora sei range? Ziva kuti iyo domain uye renji zvinogara zvichinyorwa kubva zvidiki kusvika pamatanho akakura, kana kubva kuruboshwe kurudyi kune domeini, uye kubva pasi pegrafu kusvika kumusoro kwegirafu renji.
Iwe unowana sei iyo renji?
Huwandu hunoverengerwa ne kubvisa kukosha kwakaderera kubva pamutengo wepamusoro.
Iwe unowana sei huwandu hwe f? Pakazara, matanho ekuti algebra inotsvaga huwandu hwebasa ndeiyi:
- Nyora pasi y = f (x) wobva wagadzirisa iyo equation ye x, uchipa chimwe chinhu che fomu x = g (y).
- Tsvaga iyo domain ye g (y), uye ichi chichava chikamu che f (x). …
- Kana iwe usingakwanise kunge uchigadzirisa x, saka edza kuisa basa racho kuti uwane huwandu.
Sei huwandu hwe arcsin?
Zvinoreva kuti kune a,b∈[0;π],a≠b, kuti chivi(a)=chivi(b). Izvi zvinokanganisa zvakanyanya nekuti arcsin yaizove yakawanda. Panharo imwe chete paizova nemaitiro maviri. Ndosaka rakadaro rakasarudzwa kuti chivi injective uye saka arcsin ibasa.
Chii chinonzi arcsin? Uyu musiyano wesine basa, wakaderedzwa kusvika painogumira uye inozadza ruzhinji rwese, ine inverse function inonzi y=arcsin(x) . Iine range [−π2,π2] uye domain kubva −1 kusvika 1 .
Sei huwandu hwe arcsin huchirambidzwa?
Huwandu hwe arcsin(x) hunorambidzwa nekuti kana zvisina kudaro, kukosha kwakapihwa kwe x kwaizoburitsa makona akawanda (nhamba isinga peri yemakona). Izvozvo zvingaita kuti arcsin (x) isingatemerwe rive basa.
Ndeipi kona isina kutsanangurwa secant? Secant ndiyo inodzokororwa ye cosine, saka iyo secant ye chero kona x iyo cos x = 0 inofanira kunge isina kutsanangurwa, sezvo inenge iine dhinomineta yakaenzana na 0. Kukosha kwe cos (pi/2) ndi 0, saka secant ye (pi)/2 inofanira kunge isina kutsanangurwa.
Chii chinonzi secant yakapetwa kapi pamusoro pe4?
Hukoshi chaihwo hwe sec(π4) sec ( π 4) 2-2 .
Ko secant yakaenzana here ne 1 pamusoro pe cosine ine mativi mana akaenzana?
Iyo secant ye x i1 yakakamurwa necosine ye x: sec x = 1 cos x , uye cosecant ye x inotsanangurwa kuva 1 yakakamurwa nesine ye x: csc x = 1 chivi x . = tan 5π 4 .
Ndekupi SEC 2x isina kutsanangurwa? secx haina kutsanangurwa pa −π2 uye π2 , saka haisi kuenderera pachikamu chakavharwa, [−π2,π2] . Inoenderera mberi panguva yakavhurika (−π2,π2) .