Domain a me ka laulā o nā hana Trigonometric
Launch | Domain | huahelu |
---|---|---|
moe u03b8 | R u2013 {nu03c0, n u2208 Z} | R |
maloo u03b8 | R u2013 {(2n+1)u03c0/2, n u2208 Z} | (u2013 u221e, -1] u222a [1, u221e) a i ʻole, {y: y u2208 R, y u2265 1 a i ʻole y u2264 u20131} |
cosec u03b8 | R u2013 {nu03c0, n u2208 Z} | (u2013 u221e, -1] u222a [1 , u221e) a i ʻole, {y: y u2208 R, y u2265 1 a i ʻole y u2264 u20131} |
Eia, Pehea ʻoe e ʻike ai i ka domain a me ka laulā o ka secant a me Cosecant?
He palena anei ka secant? ʻAʻole i wehewehe ʻia ka hana ma 90, a ʻo ka hoʻokokoke ʻana i ka 90 mai ka hema e pili ana i ka palena ʻole, ʻoiai ʻo ka hoʻokokoke ʻana i ka 90 mai ka ʻākau e pili ana i ka infinity maikaʻi ʻole. Ma keia hihia, ʻaʻole i loaʻa ka palena o kahi secant. No ka hana secant, e hana ʻia kēia ma 90 a ma kēlā me kēia manawa o 180 i kēlā me kēia ʻaoʻao mai ia mea.
He aha ka laula o kekona 2x? Loaʻa ka palena haʻahaʻa o ka laulā no ka secant ma ka hoʻololi ʻana i ka nui maikaʻi ʻole o ka coefficient i loko o ka hoohalike. Loaʻa ka palena o luna o ka laula no ka secant ma ka hoʻololi ʻana i ka nui kūpono o ka coefficient i loko o ka hoohalike. ʻO ka laulā y≤−1 y ≤ – 1 a i ʻole y≥1 y ≥ 1 .
He aha ke kahua o kekona 2? kāʻei kapu sec^2(x)
x 2 | x □ | · |
---|---|---|
(☐) ' | ddx | θ |
He aha ke kikowaena a me ka laulā o Secx?
Penei ka pakuhi o ka hana secant: ʻO ke kikowaena o ka hana y=sec(x)=1cos(x) ʻo ia nā helu maoli a pau koe nā koina kahi cos(x) i like me 0 , ʻo ia hoʻi, ka nā waiwai π2 +πn no nā huina helu n . ʻO ka laulā o ka hana y≤−1 a i ʻole y≥1 .
He aha ka huinahā huinahā 0? ʻO ka secant ka pānaʻi o ka cosine. Ua wehewehe pono ia ke koina o ka 0, a he 1. Nolaila, o ka pauku o ka 0, he 1 ia. 1² = 1.
He aha ke kahua o Sinx? 'O ka pakuhi o y=sin(x) ua like ia me ka nalu e oni mau loa ana ma waena o -1 a me 1, ma ke 'ano e hana hou ana iaia iho i kela a me keia 2π. ʻO ke ʻano kikoʻī, ʻo ia ke ʻano o ka domain of sin(x) he mau helu maoli, a ʻo ka laulā [-1,1].
He aha ke kikowaena a me ka laulā?
ʻO ka domain o kahi hana ka hoʻonohonoho o nā waiwai i ʻae ʻia e hoʻopili i kā mākou hana. ʻO kēia hoʻonohonoho ka helu x ma kahi hana e like me f(x). ʻO ka laulā o kahi hana ka hoʻonohonoho o nā waiwai i manaʻo ʻia e ka hana.
He aha ka laulā o Arctan? ʻO ke kikowaena o arctan(x) nā helu maoli a pau, mai ka laula o arctan −π/2 a i π/2 mau radian wale nō . Hiki ke hoʻonui ʻia ka hana arctangent i nā helu paʻakikī. I kēia hihia, ʻo ka domain ka helu paʻakikī.
ʻAuhea ʻo Secx undefined?
Ke kālailai ʻana i nā kaha kiʻi o y = sec x a me y = cscx
E ʻike ʻaʻole i wehewehe ʻia ka hana ke 0 ka cosine, e alakaʻi ana i nā asymptotes kūpaʻa maπ2, 3π2, 3π 2, etc. No ka mea, ʻaʻole ʻoi aku ka nui o ka cosine ma mua o 1 i ka waiwai kūʻokoʻa, ʻo ka secant, ʻo ia ka pānaʻi, ʻaʻole e emi iho ma mua o 1 i ka waiwai piha.
He aha ka huinahā like o ka pi ma luna o 3? ʻO ka waiwai pololei o kekona(π3) kekona ( π 3 ) ʻo ia 2 .
He aha ka Sec 2 theta like?
TRIGONOMETRI IDENTITIES
a) | hewa 2 θ + cos 2 θ | 1. |
---|---|---|
b) | 1 + kala 2 θ | ike 2 θ |
c) | 1 + koina 2 θ | csc 2 θ |
ua ') | hewa 2 θ | 1 − cos 2 θ. |
hele 2 θ | 1 − hewa 2 θ. |
He aha ke ʻano secant?
ʻO ka lōʻihi o ka hypotenuse, ke puʻunaue ʻia me ka lōʻihi o ka ʻaoʻao pili, e hāʻawi i ka secant o ka huina ma kahi huinakolu ʻākau. No laila, ʻo kāna kumu kumu: kekona X = frac{Hypotenuse}{ʻaoʻao pili} Eia kekahi, ʻo ia ka pānaʻi o ka waiwai cosine.
He aha ke kahua o TANX? Kaulana: No laila ke kikowaena o f(x) := tanx is nā helu maoli a pau koe x = π 2 + kπ, k he huinahelu. ʻO nā hana trig a pau i kēlā me kēia manawa a no laila ʻaʻole hoʻokahi-i-hoʻokahi.
He aha ke kahua o Ln? No laila ʻo ka domain (0+∞). ʻAʻole i kaupalena ʻia ka hoʻopuka no ln: hiki i kēlā me kēia helu maoli. No laila, ʻo R a i ʻole (–∞+∞) ka laulā.
He aha ke kikowaena o SEC θ?
ʻO ka waihona no kekona (θ) ʻo ia kekahi helu maoli kēlā. ke unuhi ʻia ka π2 , ʻaʻole ia he helu helu o π . Ma nā helu makemakika, ʻo ia. {x∣x=(k+12)π,k∈RZ} E hoʻomaopopo he ʻano like ke kikowaena o sec(θ) a me tan(θ).
Pehea ʻoe e kākau ai i kahi laulā? E hoʻomanaʻo e kākau mau ʻia ka domain a me ka laulā mai liʻiliʻi a nui aku, a i ʻole mai ka hema a i ka ʻākau no ke kikowaena, a mai ka lalo o ka pakuhi a i ka piko o ka pakuhi no ka laulā.
Pehea ʻoe e ʻike ai i ka pae?
Ua helu ʻia ka laulā e e unuhi ana i ka waiwai haahaa mai ka waiwai kiekie.
Pehea ʻoe e ʻike ai i ka laulā o f? ʻO ka holoʻokoʻa, nā ʻanuʻu no ka ʻimi algebraically i ka laulā o kahi hana:
- E kakau iho i ka y=f(x) a laila e hoopau i ka hoohalike no x, e haawi ana i kekahi mea o ke ano x=g(y).
- E huli i ke kikowaena o g(y), a o keia ka laula o f(x). …
- Inā ʻaʻole hiki iā ʻoe ke hoʻoholo no x, a laila e hoʻāʻo e kiʻi i ka hana e ʻike ai i ka laulā.
No ke aha ka laulā o arcsin?
ʻO ia hoʻi, aia a,b∈[0;π],a≠b, kēlā hewa(a)=sin(b). He pilikia loa kēia no ka mea ʻO ka arcsin ka waiwai nui. No ka hoʻopaʻapaʻa hoʻokahi, aia ʻelua mau waiwai. ʻO ia ke kumu i koho ʻia ai kēlā ʻano he injective ka hewa a no laila he hana ʻo arcsin.
He aha ka laulā o arcsin? ʻO kēia ʻano ʻokoʻa o kahi hana sine, hoʻemi ʻia i kahi wā kahi e monotonous a hoʻopiha i ka laulā holoʻokoʻa, he hana ʻokoʻa i kapa ʻia ʻo y=arcsin(x) . Loaʻa iā ia ka laulā [−π2,π2] a me ke kikowaena mai −1 a i 1 .
No ke aha i kaupalena ʻia ai ka laulā o arcsin?
Ua kapu ka laula o arcsin(x). no ka mea, inā ʻaʻole, loaʻa ka waiwai i hāʻawi ʻia o x i nā kihi he nui (he helu palena ʻole o nā kihi). ʻAʻole ia he hana i ka arcsin(x) palena ʻole.
He aha ka huina i wehewehe ʻole ʻia? ʻO ka secant ka pānaʻi o ka cosine, no laila ka secant o ʻO kēlā me kēia kihi x no ka cos x = 0 pono e wehewehe ʻole ʻia, no ka mea, loaʻa iā ia ka denominator like me 0. ʻO ka waiwai o cos (pi/2) he 0, no laila, ʻaʻole i wehewehe ʻia ka paukū o (pi)/2.
He aha ka huinahā like o ka pi ma luna o 4?
ʻO ka waiwai pololei o kekona(π4) kekona ( π 4 ) ʻo ia 2√2 .
Ua like anei ka huinahā like me 1 ma luna o ka huinahāhā cosine?
He 1 ka mahele o x e ka cosine o x: kekona x = 1 cos x , a ua wehewehe ʻia ka cosecant o x he 1 puʻunaue ʻia e ka sine o x: csc x = 1 sin x . = tan 5π 4 .
Aia ma hea kahi SEC 2x i wehewehe ʻole ʻia? ʻAʻole wehewehe ʻia ka secx ma −π2 a me π2 , no laila, ʻaʻole hoʻomau i ka wā pani, [−π2,π2] . Hoʻomau ia ma ka wā hāmama (−π2,π2) .