geometry vs trigonometry
lej muaj peb ceg tseem ceeb, npe hu ua lej lej, lej lej thiab lej. Geometry yog kev kawm txog cov duab, qhov loj me thiab cov khoom ntawm qhov chaw ntawm tus lej ntawm qhov ntev. Tus kws lej zoo Euclid tau ua rau muaj txiaj ntsig zoo rau thaj chaw geometry. Yog li ntawd, nws yog hu ua Leej Txiv ntawm Geometry. Lo lus "geometry" los ntawm Greek, uas, "Geo" txhais tau tias "Lub Ntiaj Teb" thiab "metron" txhais tau tias " ntsuas". Geometry tuaj yeem categorized li dav hlau geometry, khoom geometry, thiab spherical geometry. Plane geometry deals nyob rau hauv ob-dimensional geometric khoom xws li cov ntsiab lus, kab, nkhaus thiab ntau lub dav hlau daim duab xws li lub voj voog, daim duab peb sab thiab polygons. Cov kev tshawb fawb geometry ntawm cov khoom peb-dimensional: ntau yam polyhedrons xws li spheres, cubes, prisms thiab pyramids. Spherical geometry hais txog cov khoom peb-dimensional xws li cov duab peb sab kheej kheej thiab kheej kheej polygon. Geometry yog siv txhua hnub, yuav luag txhua qhov chaw thiab txhua tus. Geometry tuaj yeem pom hauv physics, engineering, architecture thiab ntau ntxiv. Lwm txoj hauv kev ntawm categorizing geometry yog Euclidian Geometry, kev kawm txog cov chaw tiaj tus, thiab Riemannian geometry, nyob rau hauv uas lub ntsiab lus tseem ceeb yog kev kawm ntawm nkhaus nto.
Trigonometry tuaj yeem suav tias yog ib ceg ntawm geometry. Trigonometry yog thawj zaug pib thaum txog 150BC los ntawm Hellenistic mathematician, Hipparchus. Nws tsim ib lub rooj trigonometric siv sine. Ancient societies siv trigonometry raws li ib tug navigation txoj kev nyob rau hauv sailing. Txawm li cas los xij, trigonometry tau tsim ntau xyoo. Hauv kev ua lej niaj hnub no, trigonometry plays lub luag haujlwm loj.
Trigonometry yog qhov pib ntawm kev kawm txog cov duab peb sab, qhov ntev, thiab cov kaum sab xis. Txawm li cas los xij, nws tseem cuam tshuam nrog nthwv dej thiab oscillations. Trigonometry muaj ntau daim ntawv thov hauv kev ua lej thiab kev ua lej ntshiab thiab hauv ntau ceg ntawm kev tshawb fawb.
Nyob rau hauv trigonometry, peb kawm txog kev sib raug zoo ntawm sab lengths ntawm lub kaum sab xis daim duab peb sab. Muaj rau kev sib raug zoo trigonometric. Peb lub hauv paus, lub npe hu ua Sine, Cosine, thiab Tangent, ua ke nrog Secant, Cosecant, thiab Cotangent.
Piv txwv li, piv txwv tias peb muaj lub kaum sab xis ntawm daim duab peb sab. Sab pem hauv ntej ntawm lub kaum sab xis, hauv lwm lo lus, lub hauv paus ntev tshaj plaws hauv daim duab peb sab yog hu ua hypotenuse. Sab pem hauv ntej ntawm ib lub kaum sab xis yog hu ua opposite sab ntawm lub kaum sab xis, thiab sab laug qab mus rau lub kaum sab xis yog hu ua nyob ib sab. Tom qab ntawd peb tuaj yeem txhais qhov kev sib raug zoo ntawm trigonometry hauv qab no:
sin A=(sab sab nraud)/hypotenuse
cos A=(sab nyob ib sab)/hypotenuse
tan A=(sab sab nraud)/(sab ib sab)
Tom qab ntawd Cosecant, Secant thiab cotangent tuaj yeem txhais tau tias yog qhov sib txuam ntawm Sine, Cosine thiab tangent feem. Muaj ntau ntau txoj kev sib raug zoo trigonometry tsim los ntawm lub tswv yim yooj yim no. Trigonometry tsis yog tsuas yog kev kawm txog cov duab dav hlau xwb. Nws muaj ib ceg hu ua spherical trigonometry, uas kawm txog daim duab peb sab hauv qhov chaw peb sab. Spherical trigonometry muaj txiaj ntsig zoo hauv astronomy thiab navigation.
Qhov txawv ntawm Geometry thiab Trigonometry yog dab tsi?
¤ Geometry yog ib ceg tseem ceeb ntawm kev ua lej, thaum trigonometry yog ib ceg ntawm geometry.
¤ Geometry yog kev kawm txog cov khoom ntawm cov duab. Trigonometry yog kev kawm txog cov khoom ntawm daim duab peb sab.
