Mu ena kumpanda wa cosine wa HIV? Mu ena kumpanda wa sine ndi cosine wa HIV?

Mafunso akuwuka mu kuphunzira ntchito trigonometric ndi osiyanasiyana. Ena mwa iwo - kuti kumpanda anthu cosine zabwino ndi zoipa, ena kumpanda sine zabwino ndi zoipa. Chirichonse chiri mosavuta ngati mukudziwa mmene kuwerengera phindu la ntchito izi mu ngodya zosiyanasiyana ndi bwino mfundo ya kumanga ntchito pa tchati.

ndi cosine Kodi

Ngati tikulingalira bwino-angled makona, tili zotsatirazi makulidwe lomwe tanthauzo: ndi cosine wa njira ndi chiŵerengero cha mwendo pafupi ndi hypotenuse BC AB (Chithunzi 1.): Ko ndi = BC / AB.

Mothandizidwa ndi makona chomwecho, mungapeze sine ya ngodya, ndi tangent ndi cotangent. Sinusitis ndi chiŵerengero cha mwendo wotsutsa ku ngodya ya okamba za hypotenuse AB. The tangent ya ngodya ndi, ngati mbali anakhumba wa sine kugawidwa ndi cosine ya njingayo yemweyo; m'malo ndi chilinganizo lolingana kupeza cosine ndi sine timapeza kuti tg ndi = AC / BC. Cotangent ndi osiyanitsidwa wa ntchito tangent, izo zidzakhala: ctg ndi = BC / AC.

Ndiko kuti, anapezeka kuti yofanana mu ufulu makona makulidwe a makhalidwe a ngodya ya. Zingatanthauze kuti zinaonekeratu ku mfundo izi, koma chifukwa ndi chiwerengero zoipa?

Kuchita zimenezi, tiyeni tione makona mu Cartesian ntchito dongosolo, pamene pali mfundo zabwino ndi zoipa.

Bwino za kotala, mudabzalwa

Kodi Cartesian ndondomeko? Ngati ife kulankhula za malo awiri azithunzi omwe tikunena, tili ndi mizere iwiri analamula kuti intersect pa mfundo O - ndi x-olamulira (Ng'ombe) ndi Y-olamulira (Oy). Kuchokera O mfundo malangizo a mzere wolunjika anayikidwa manambala zabwino, koma zosiyana malangizo - negative. Izi ku mapeto, izo zimatengera mwachindunji, mu kumpanda aliyense cosine ndi zabwino, ndi zomwe moyenera, palibe.

kotala loyamba

Ngati mungatero, kuika ufulu-angled makona kotala choyamba (kuchokera ^{0 90),} kumene x-olamulira ndi Y ndi makhalidwe abwino (zigawo AO ndi Bo ali pa nkhwangwa kumene mfundo ndi "+" chizindikiro), ndiyeno tchimo, kuti cosine a yemweyo adzakhala ndi makhalidwe abwino, ndipo akutumikira mtengo ndi "kuphatikiza." Koma kodi chimachitika n'chiyani ngati kusuntha makona kotala chachiwiri (kuchokera ^{pa 90} mpaka ^180)?

kotala yachiwiri

Ife tikuona kuti Y-olamulira mwendo JSC analandira mtengo negative. The cosine ya njingayo tsopano ali ndi chiŵerengero mu mbali opanda, ndipo chotero mtengo wake womaliza amakhala negative. Iwo likukhalira kuti mmene kotala ya cosine ndi zabwino zimadalira malo makona mu Cartesian ntchito dongosolo. Ndipo mu nkhani iyi, cosine ya njingayo afika mtengo negative. Koma palibe chasintha chifukwa nkusani, monga kudziwa chizindikiro cha ufulu malangizo ob, amene wakhala mu nkhani iyi ndi kuphatikiza chizindikiro. Kuti adzimvera woyamba mbali ziwiri.

Kuti tipeze zimene kumpanda cosine zabwino ndi zoipa pagulu (komanso nkusani ndi ntchito zina trigonometric), muyenera kuyang'ana pa chizindikiro anatumizidwa chimodzi kapena chimzake mwendo. Pakuti cosine a mbali yovuta mwendo AB, kwa sine - RH.

Kotala loyamba mpaka yekhayo kuti muyankhe funso ili: "Kodi kumpanda wa sine ndi cosine zabwino nthawi yomweyo?". Yang'anani pa, kodi adakali likufanana chizindikiro cha ntchito ziwiri.

Lachiwiri kotala mwendo JSC anayamba mtengo zoipa, motero cosine linasokonekera. Pakuti mtengo zabwino kusungidwa nkusani.

kotala lachitatu

Tsopano onse mwendo AB ndi ob anatembenuka negative. Kumbukirani asapita kwa sine ndi cosine:

Ko ndi = AB / AB;

Alikuchimwa = VO / AB.

AB nthawi zonse ali ndi chizindikiro chabwino mu dongosolo ntchito, chifukwa kuchitidwa kwa aliyense wa nkhwangwa awiri a zipani zina. Koma miyendo kukhala zoipa, ndipo chotero chifukwa cha ntchito onse, nayenso zoipa, chifukwa ngati inu kuchita chulutsa kapena magawano ndi manambala, kuphatikizapo wina ndipo mmodzi yekha ali "opanda" chizindikiro, chifukwa kudzakhala bwino lino.

The chifukwa panthawi imeneyi:

1) zomwe kotala cosine zabwino? Mu lamulo loyamba la atatu.

2) zomwe kotala sine zabwino? Woyamba ndi wachiwiri kwa atatu.

Kotala wachinayi (kuchokera ^pafupifupi 270 ^pafupifupi 360)

Apa mwendo ungatengeso JSC "kuphatikiza" chizindikiro, motero cosine kwambiri.

Pakuti nkhani ya sine akadali "zoipa" chifukwa RH mwendo anakhalabe pansipa poyambira O.

anapezazo

Pofuna kumvetsa zimene kumpanda wa cosine cha zabwino, zoipa, etc., tizikumbukira chiŵerengero kuwerengera cosine: pafupi ndi ngodya ya mwendo akufufuta hypotenuse lapansi. Aphunzitsi ena kupereka kotero kumbukirani: kuti (osinus) = (a) ngodya. Ngati inu mukukumbukira "kunyengeza" kuti adzakhala basi kudziwa kuti sine - ndi chiŵerengero cha mwendo wotsutsa ku ngodya kuti hypotenuse lapansi.

Kumbukirani, mu aliyense cosine kotala ya anthu zabwino ndi zoipa ndi kovuta. Trigonometric amatha kwambiri, ndipo iwo onse ndi phindu. Komabe, chifukwa pakuti makhalidwe abwino a sine - 1, 2-wachinayi (kuchokera ⁰ mpaka ^180); kwa cosine wa 1, 4-wachinayi (kuchokera 0 kuti ^{pafupifupi 90} kuchokera ^pafupifupi 270 ^pafupifupi 360). Mu zogonamo otsala mwa ntchito anafotokozedwa ndi opanda munthu.

Mwina wina simudzavutika kukumbukira pamene chizindikiro pa ntchito fano.

Pakuti nkusani Tingaone kuti ku ziro mpaka 180 ^pa lokwera ndi pamwamba mzere tchimo (x) mtengo, zikutanthauza ntchito ndi zabwino. Pakuti cosine komanso: mu kotala cosine zabwino (chithunzi 7), ndi amene aona kusamutsidwa zoipa mizere pamwamba ndi pansi pa olamulira a Ko (x). Chifukwa, ife tikhoza kukumbukira njira ziwiri kudziwa chizindikiro cha ntchito sine, cosine:

1. kungoganiza bwalo ndi utali wozungulira Angafanane ndi (ngakhale, ziribe kanthu chomwe utali wozungulira bwalo, koma mabuku nthawi zambiri amachititsa monga chitsanzo ichi facilitates maganizo, koma pa nthawi yomweyo, pokhapokha ndi zilibe kanthu, ana amasokonezeka).

2. Mu fano, malingana ndi ntchito (s) kuchokera mkangano × monga chithunzi watha.

Ndi njira woyamba akhoza kumva zinthu lowani yozungulira, ndipo ife anafotokoza zimenezi mwatsatanetsatane pamwamba. Chithunzi 7, anamanga malinga ndi kafukufuku amenewa komanso zotheka imatembenuza ntchito chifukwa ndi znakoprinadlezhnost ake.