Ama-engeli ahambisanayo awumqondo oyisisekelo ku-geometry osivumela ukuthi siqonde ubudlelwano phakathi kwama-engeli amabili ahlanganisa kufika kuma-degree angu-90. Ukuze ubale ama-engeli ahambisanayo, kuyadingeka ukuqonda izakhiwo namafomula abusayo. Kulesi sihloko, sizohlola ngokuningiliziwe ukuthi singabala kanjani ama-engeli ahambisanayo futhi sethule uchungechunge lwezivivinyo ezisebenzayo ukuze senze ulwazi lwethu lusebenze. Uma unentshisekelo yokwandisa amakhono akho ejometri nokuqinisa ukuqonda kwakho ama-engeli ahambisanayo, qhubeka ufunda!
1. Isingeniso sama-engeli ahambisanayo
Ku-geometry, i- ángulos complementarios Yilawo ahlanganisa kufika kuma-degree angama-90. Okusho ukuthi, uma ama-engeli amabili ahambisanayo ethathwa futhi izilinganiso zawo zengezwa, umphumela uzohlala ulingana namadigri angu-90. Lezi zinhlobo zama-engeli ziwusizo kakhulu ezindaweni eziningi zezibalo ne-physics.
Ukuze ubale ama-engeli ahambisanayo, kuyadingeka ukwazi isilinganiso se-engeli eyodwa bese uyisusa Amadigri angu-90. Isibonelo, uma i-engeli ikala amadigri angu-40, i-engeli yayo ehambisanayo izoba ngu-90 - 40 = 50 degrees. Kubalulekile ukukhumbula ukuthi isamba sama-engeli amabili ahambisanayo siyohlala silingana namadigri angama-90.
Isibonelo esisebenzayo sama-engeli ahambisanayo sitholakala kuma-engeli alungile. I-engeli engakwesokudla ikala amadigri angu-90 ncamashi futhi ingumphelelisi wayo. Ngakho-ke, uma une-engeli efanele, ukuhambisana kwayo kuzoba i-engeli efanele. Ama-engeli ahambisanayo avame ukusetshenziswa ezinkingeni zejometri ne-trigonometry, kanye nasekwakhiweni kobunjwa bejometri nezibalo.
2. Incazelo kanye nezakhiwo zama-engeli ahambisanayo
Ama-engeli ahambisanayo awumqondo oyisisekelo kujometri. Achazwa njengama-engeli amabili izilinganiso zawo zengeza kufika ku-90 degrees. Impahla ebaluleke kakhulu yama-engeli ahambisanayo ukuthi, lapho wengeza izilinganiso zawo, sizohlala sithola i-engeli elungile.
Ukuze sibone ukuthi ama-engeli amabili ayahambisana yini, singasebenzisa ifomula elandelayo: α + β = 90°, lapho u-α no-β kuyizilinganiso zama-engeli. Uma lesi sibalo sibambekile, singaqinisekisa ukuthi ama-engeli ayahambisana.
Indlela esebenzayo yokusebenzisa ama-engeli ahambisanayo isekuxazululeni izinkinga ezihlanganisa ama-engeli angaziwa. Singasebenzisa lesi sakhiwo ukubola i-engeli ibe izingxenye ezimbili ezihambisanayo futhi sizixazulule kalula. Isibonelo, uma sine-engeli engu-60 degrees, singayibhidliza ibe ama-engeli amabili ahambisanayo angu-30 degrees lilinye. Lokhu kwenza kube lula ukubala nokuqonda inkinga.
Kafushane, ama-engeli ahambisanayo yilawo anesamba sezilinganiso ezingama-degree angama-90. Lesi sakhiwo sisivumela ukuthi sibole ama-engeli futhi sixazulule izinkinga kalula. Masikhumbule ukusebenzisa ifomula α + β = 90° ukuze sinqume ukuthi ama-engeli amabili ayahambisana yini.
3. Ifomula yokubala ama-engeli ahambisanayo
Ukuze ubale ama-engeli ahambisanayo, kuyadingeka ukucabangela amafomula ayisisekelo nemiqondo. I-engeli ehambisanayo yileyo, lapho ingezwe kwenye i-engeli, iphumela engeli efanele, okungukuthi, ama-degree angu-90. Ngezansi kunemininingwane Igxathu emvakwe gxathu indlela yokuxazulula le nkinga:
1. Thola ama-engeli okubhekiselwe kuwo. Ama-engeli ahambisanayo avamise ukumelwa ngosonhlamvukazi abancane njengokuthi "a" kanye no-"b."
2. Setha isamba sama-engeli esilingana namadigri angu-90, usebenzisa ifomula: a + b = 90. Lesi sibalo simele incazelo yama-engeli ahambisanayo.
3. Xazulula okukodwa kokungaziwa esibalweni. Isibonelo, uma ulazi inani lika-"a" futhi ufuna ukubala inani lika-"b", ungaxazululela okuthi "b" ngokukhipha u-"a" izinhlangothi zombili kusuka ku-equation: b = 90 – a.
4. Izinyathelo zokubala ama-engeli ahambisanayo
Ukuze ubale ama-engeli ahambisanayo, udinga ukulandela lezi zinyathelo:
1. Khomba ama-engeli amabili okukhulunywa ngawo: Okokuqala, kufanele ukhombe ama-engeli amabili ofuna ukubala umphelelisi wawo. Qiniseka ukuthi ucacile mayelana nokuthi yimaphi ama-engeli osebenza nawo.
2. Bala isilinganiso se-engeli ngayinye: Uma usuwahlonze ama-engeli amabili, kufanele ubale isilinganiso sawo ngamunye. Sebenzisa amathuluzi afanele noma amafomula ukuze uthole isilinganiso esinembile sama-engeli.
3. Engeza izilinganiso zama-engeli: Isinyathelo esilandelayo ukwengeza izilinganiso zama-engeli amabili. Ngokwenza lokhu, uzothola isamba esiphelele sama-engeli. Qiniseka ukuthi wenza isengezo ngendlela efanele ukuze uthole umphumela onembile.
5. Izibonelo zokubala ama-engeli ahambisanayo
Ukuze ubale ama-engeli ahambisanayo, kubalulekile ukucabangela ukuthi isamba sama-engeli amabili ahambisanayo silingana nama-degree angu-90. Manje bayethula ezinye izibonelo ezibonisa indlela yokwenza lesi sibalo.
Isibonelo 1:
Ake sithi sine-engeli engaziwa x. Ukuthola i-engeli ehambisanayo, sivele sisuse inani le x de 90:
- Isinyathelo 1: Susa inani le-engeli engaziwa ku-90: 90 – x
- Isinyathelo sesi-2: Umphumela otholiwe i-engeli ehambisanayo ye x.
Por ejemplo, si x ilingana namadigri angu-45, i-engeli ehambisanayo ingaba: 90 – 45 = 45 degrees.
Isibonelo 2:
Ake sicabange ukuthi sinonxantathu ongakwesokudla lapho sazi khona enye yama-engeli awo, kodwa sidinga ukubala i-engeli ehambisanayo. Ngokusebenzisa i-Pythagorean Theorem kanye nobudlelwano be-trigonometric, singakwazi ukuxazulula le nkinga:
- Isinyathelo 1: Uma sazi enye yama-engeli abukhali kanxantathu ongakwesokudla, singakwazi ukunquma inani lenye i-engeli ebukhali sisebenzisa iqiniso lokuthi isamba sama-engeli angaphakathi kanxantathu silingana namadigri angu-180.
- Isinyathelo sesi-2: Bala inani le-engeli ehambisanayo ngokukhipha i-engeli e-acute eyaziwayo ku-engeli engakwesokudla (amadigri angu-90).
Isibonelo, uma i-engeli ye-acute eyaziwayo kanxantathu ongakwesokudla ingamadigri angu-60, singathola i-engeli ehambisanayo kanje: 90 – 60 = 30 degrees.
6. Izinhlobo zokuzivocavoca kwe-engeli ehambisanayo
Ukuzivocavoca kwama-engeli ahambisanayo yilawo lapho silethulwa khona ngama-engeli ahambisanayo futhi sicelwe ukuthi sithole izilinganiso zawo. I-engeli ehambisanayo yileyo, lapho ingezwe kwenye i-engeli, iphumela kumadigri angu-90.
Ukuxazulula lolu hlobo lokuzivocavoca, kubalulekile ukucabangela amasu athile. Okokuqala, kuyasiza ukwazi impahla yama-engeli ahambisanayo, okusho ukuthi isamba sama-engeli ahambisanayo sihlala silingana nama-degree angama-90.
Ngaphezu kwalokho, kulula ukuhlonza ubudlelwano phakathi kwama-engeli enkingeni. Isibonelo, uma sinikezwa isilinganiso se-engeli eyodwa ehambisanayo, singasusa leso silinganiso kumadigri angu-90 ukuze sithole isilinganiso senye i-engeli.
Ngezansi isibonelo sokuqonda kangcono indlela yokuxazulula lolu hlobo lokuzivocavoca:
Ake sithi sitshelwa ukuthi ama-engeli amabili ayahambisana futhi elinye lawo likala ama-degree angu-30. Ukuze sithole isilinganiso senye i-engeli, singasusa amadigri angu-30 kusukela ku-90 degrees: 90 – 30 = 60 degrees. Ngakho-ke, enye i-engeli ehambisanayo izokala amadigri angu-60.
Kafushane, ukuzivocavoca kwe-engeli okuhambisanayo kuhilela ukuthola izilinganiso zama-engeli amabili ahlanganisa kufika kuma-degree angu-90. Ukuze uzixazulule, kubalulekile ukwazi impahla yama-engeli ahambisanayo futhi usebenzise amasu afana nokukhipha isilinganiso esaziwayo kusuka kumadigri angu-90.
7. Amasu okuxazulula izivivinyo ze-engeli ezihambisanayo
Kumathematika, ama-engeli ahambisanayo yilawo ahlanganisa kufika kuma-degree angama-90. Ukuxazulula izivivinyo ze-engeli ezihambisanayo kuyikhono elibalulekile lokutadisha i-geometry ne-trigonometry. Lapha, sethula amasu abalulekile okuxazulula lolu hlobo lokuzivocavoca:
1. Qonda incazelo yama-engeli ahambisanayo: Ukuxazulula izivivinyo yama-engeli ahambisanayo, kubalulekile ukuqonda incazelo yawo. I-engeli ehambisanayo yileyo, lapho ingezwe kwenye i-engeli, iphumela kumadigri angu-90. Ngamanye amazwi, uma unama-engeli amabili ahambisanayo, isamba sezilinganiso zawo sizolingana nama-degree angu-90.
2. Thola ama-engeli anikeziwe: Ezivivinyweni, into yokuqala okufanele ukwenze ukukhomba ama-engeli onikezwe wona. Lokhu kungase kuboniswe ngamadigri noma ngokwezinkulumo ze-algebra. Kubalulekile ukuqaphela ukuthi ama-engeli akumadigri noma uma udinga ukusebenzisa okuguquguqukayo ukuwamela.
3. Sebenzisa ubudlelwano bokuphelelisana: Uma usuwahlonze ama-engeli anikeziwe, ungasebenzisa ubudlelwano bokuhambisana ukuze uxazulule umsebenzi. Isibonelo, uma unikezwa i-engeli futhi ucelwa ukuthi uthole umphelelisi wayo, ungasusa isilinganiso se-engeli enikeziwe kusukela kumadigri angu-90 ukuze uthole isilinganiso sokuhambisana. Ngakolunye uhlangothi, uma unikezwa isamba sama-engeli amabili ahambisanayo futhi ucelwa ukuthi uthole ama-engeli angawodwana, ungasusa isamba esinikeziwe kuma-degree angama-90 bese uhlukanisa umphumela ngamabili.
Khumbula ukuzilolonga njalo ukuze uqinise amakhono akho ekuxazululeni ama-engeli ahambisanayo. Ngokuhamba kwesikhathi, uzojwayelana namasu futhi ukwazi ukuwaxazulula kalula. Zizwe ukhululekile ukusebenzisa izinto zokufundisa ezengeziwe, njengezibonelo kanye nezifundo eziku-inthanethi, ukuze uhlanganise ulwazi lwakho! [END-SOLUTION]
8. Izindlela zokuxazulula izinkinga ze-engeli ezihambisanayo
Ama-engeli ahambisanayo yilawo ahlanganisa kufika kuma-degree angama-90. Ukuxazulula izinkinga ezihlanganisa lezi zinhlobo zama-engeli kungase kubonakale kuyinkimbinkimbi, kodwa empeleni, kulula kakhulu uma usuzazi izindlela ezifanele. Kulesi sihloko, sizokunikeza ngesinyathelo esinemininingwane ngesinyathelo ukuxazulula izinkinga yama-engeli ahambisanayo.
1. Khomba ama-engeli: Into yokuqala okufanele siyenze ukukhomba ama-engeli anikezwe enkingeni. Qiniseka ukuthi zichazwe ngokucacile futhi uzibhale phansi ukuze ube nazo ngesikhathi sonke senqubo yokuxazulula.
2. Engeza ama-engeli: Uma ama-engeli ekhonjiwe, engeza izilinganiso zawo. Khumbula ukuthi isamba sama-engeli ahambisanayo kufanele silingane namadigri angama-90. Uma isamba singalingani namadigri angu-90, hlola izibalo zakho bese uzama futhi.
3. Xazulula okungaziwa: Uma inkinga ikucela ukuthi uthole inani le-engeli eyodwa ehambisanayo, sebenzisa umphumela wesamba esitholwe esinyathelweni sangaphambilini ukuze uthole inani elishiwo. Susa isilinganiso esaziwayo se-engeli kusuka kumadigri angu-90 futhi uzothola inani elidingekayo le-engeli elihambisanayo. Qiniseka ukuthi uveza impendulo yakho ngeyunithi yokulinganisa ehambisanayo.
9. Izimo ezikhethekile zama-engeli ahambisanayo
Ku-geometry, ama-engeli ahambisanayo adlala indima ebalulekile ezinhlelweni eziningi. Yilawo ma-engeli okuthi, uma engeziwe, aphumele engeli elilungile lama-degree angu-90. Nokho, kukhona izimo ezikhethekile ukuthi kuyakufanelekela lokho yisho futhi ufunde kabanzi.
Icala lokuqala elikhethekile yilapho enye yama-engeli ahambisanayo iyi-engeli engakwesokudla engu-90 degree. Kulesi simo, enye i-engeli kufanele futhi ilungile, njengoba isamba sakho kokubili singaholela kumadigri angu-180, okuphikisana nencazelo yama-engeli ahambisanayo. Ngakho-ke, uma i-engeli eyodwa ehambisanayo ilungile, enye i-engeli nayo izoba ilungile.
Esinye isimo esikhethekile senzeka lapho enye yama-engeli ahambisanayo ingu-0 degrees. Kulokhu, enye i-engeli kufanele ibe ngamadigri angu-90, njengoba isamba sakho kokubili kufanele siphumele kumadigri angu-90, okuyincazelo ye-engeli ehambisanayo. Ngamanye amazwi, uma i-engeli eyodwa ehambisanayo inguziro, enye i-engeli kufanele ibe ilungile.
10. Ukusetshenziswa kwama-engeli ahambisanayo ezinkingeni zejometri
Ukuxazulula izinkinga zejiyomethri ezibandakanya ama-engeli ahambisanayo, kubalulekile ukuqonda ukuthi kusho ukuthini ngama-engeli amabili ahambisanayo. Ama-engeli amabili abhekwa njengokuhambisanayo lapho isamba sawo silingana nama-degree angama-90. Lesi sakhiwo sibalulekile ukuxazulula lolu hlobo lwenkinga..
Okokuqala, kuyadingeka ukukhomba ama-engeli anikezwe inkinga futhi unqume ukuthi yimaphi ahambisanayo. Singabe sesisebenzisa lolu lwazi ukuze senze izibalo ezisivumela ukuthi sixazulule inkinga. Isibonelo, uma sine-engeli engaziwa futhi sazi ukuthi ihambisana nenye i-engeli engu-45 degrees, singasho i-equation. x + 45 = 90, lapho u-x eyinani le-engeli engaziwa.
Uma sesiyishilo isibalo, singayixazulula ukuze sithole inani le-engeli engaziwa. Kulokhu, sizokhipha u-45 kuzo zombili izinhlangothi zesibalo, okuzoholela ekutheni x = 45. Ngakho-ke, i-engeli engaziwa inenani lama-degree angu-45.
11. Ukubaluleka kwama-engeli ahambisanayo ku-trigonometry
Ama-engeli ahambisanayo abaluleke kakhulu ku-trigonometry, njengoba asivumela ukuba sixazulule izinkinga futhi senze izibalo kalula. Ku-trigonometry, ama-engeli amabili abhekwa njengokuhambisanayo uma isamba sezilinganiso zawo silingana namadigri angu-90. Lesi sakhiwo siwusizo ikakhulukazi ekutadisheni onxantathu abangakwesokudla, lapho ama-engeli ahambisanayo ahlobene ngokuqondile nemisebenzi ye-trigonometric.
Ukusetshenziswa kwama-engeli ahambisanayo kusivumela ukuthi senze izengezo ze-trigonometric zibe lula futhi sixazulule izibalo ze-trigonometric kalula. Isibonelo, uma sine-engeli omsebenzi wayo we-trigonometric waziwa, singathola inani le-engeli ehambisanayo futhi silisebenzisele ukwenza lula noma ukuxazulula isisho se-trigonometric okukhulunywa ngaso. Lokhu kuwusizo ikakhulukazi ezinkingeni zejometri noma izinhlelo zokusebenza ezingokoqobo.
Ukuze usebenze ngama-engeli ahambisanayo ku-trigonometry, kubalulekile ukwazi ubudlelwano phakathi kwemisebenzi ye-trigonometric nama-engeli ahambisanayo. Isibonelo, i-sine ye-engeli ehambisanayo ilingana ne-cosine ye-engeli yokuqala, futhi ngokuphambene nalokho. Ngokufanayo, i-tangent ye-engeli ehambisanayo ilingana ne-cotangent ye-engeli yokuqala, njalonjalo. Lobu budlelwano busivumela ukuba senze izibalo zibe lula futhi sixazulule izinkinga ngokuyimpumelelo.
12. Ubudlelwano phakathi kwama-engeli ahambisanayo nama-engeli angeziwe
Iyisisekelo ku-geometry nasekuxazululeni izinkinga ezihlobene nezilinganiso zama-engeli. I-engeli ehambisanayo yileyo okuthi, yengezwe kwenye i-engeli, ibangele i-engeli elungile, okungukuthi, ama-degree angu-90. Ngakolunye uhlangothi, i-engeli eyengeziwe yileyo, lapho ingezwe kwenye i-engeli, iphumela ku-engeli eqondile, okungukuthi, ama-degree angu-180.
Ukuze uxazulule izinkinga ezihlanganisa ama-engeli ahambisanayo, kubalulekile ukukhumbula ukuthi isamba sama-engeli amabili ahambisanayo siyohlala silingana nama-degree angu-90. Isibonelo, uma une-engeli engaziwa futhi wazi ukuthi ihambisana nenye i-engeli engu-45-degree, ungathola inani le-engeli engaziwa ngokukhipha ama-degree angu-45 ukusuka ku-90-degree kwesokudla.
Endabeni yama-engeli engeziwe, isamba sama-engeli amabili siyohlala silingana nama-degree angu-180. Uma une-engeli engaziwa futhi wazi ukuthi iyisengezo kwenye i-engeli engu-120 degrees, inani le-engeli engaziwa lingatholakala ngokukhipha ama-degree angu-120 ku-engeli eqondile engu-180 degrees. Ukukhumbula lezi zakhiwo nokuzisebenzisa ekuxazululeni izinkinga kubalulekile ukuze usebenze ngama-engeli ahambisanayo nama-engeli angeziwe.
13. Amathiphu asebenzayo okubhekana nama-engeli ahambisanayo
Kulesi sigaba, sizokunikeza ezimbalwa ngempumelelo. Landela lezi zinyathelo futhi uzosebenzisa kalula imiqondo ehlobene nama-engeli ahambisanayo:
- Qonda incazelo: Khumbula ukuthi ama-engeli amabili ayahambisana lapho isamba sezilinganiso zawo silingana nama-degree angu-90. Zijwayeze le ncazelo futhi uqiniseke ukuthi uyayiqonda ngaphambi kokuba uqale ukuxazulula izivivinyo.
- Khomba ama-engeli ahambisanayo: Funda inkinga ngokucophelela futhi ubheke ama-engeli ashiwo. Sebenzisa imikhondo onikezwe yona ukuze ubone ukuthi yimaphi ama-engeli ahambisanayo esimweni esinikeziwe.
- Sebenzisa isakhiwo esihambisanayo: Uma ama-engeli ahambisanayo esehlonziwe, sebenzisa isakhiwo esihambisanayo ukuze ubhale isibalo esihlobene nezilinganiso zabo. Isibonelo, uma enye yama-engeli inesilinganiso sika-x degrees, enye i-engeli izoba nesilinganiso esingu-90 – x degrees.
Qhubeka lawa macebiso okusebenzayo ukubhekana nokuzivocavoca kwe-engeli ehambisanayo ngempumelelo. Khumbula ukuthi ukuzijwayeza njalo kuyisihluthulelo sokuthuthukisa amakhono akho kulesi sihloko. Sebenzisa izibonelo namathuluzi atholakalayo ku-inthanethi ukuze usebenzise futhi uqinise ukuqonda kwakho ama-engeli ahambisanayo. Ungayeki futhi uqhubeke nokuzilolonga! Ngokuhamba kwesikhathi, uzoba uchwepheshe ekuxazululeni lezi zinhlobo zezinkinga.
14. Isifinyezo neziphetho mayelana nama-engeli ahambisanayo kanye nokubala kwawo
Lapho ubala ama-engeli ahambisanayo, kubalulekile ukucabangela ukuthi isamba sama-engeli amabili kufanele silingane Amadigri angu-90. Ukunquma ama-engeli ahambisanayo, izindlela namathuluzi ezibalo ahlukene angasetshenziswa. Ngezansi kunesibonelo esinesinyathelo ngesinyathelo sokwenza ukubala kwakho kube lula.
Okokuqala, i-engeli enikeziwe enkingeni kufanele ikhonjwe. Khona-ke, le engeli kufanele isuswe Amadigri angu-90 ukuthola i-engeli yayo ehambisanayo. Isibonelo, uma une-engeli engu-45 degrees, i-engeli yayo ehambisanayo izoba ngu-90 - 45 = 45 degrees. Lesi sibalo singenziwa kusetshenziswa umshini wokubala ukuze uthole ukunemba okukhulu.
Kuwusizo ukukhumbula ukuthi ama-engeli ahambisanayo yilawo okuthi, uma engeziwe, alingane nawo Amadigri angu-90. Lesi sakhiwo singasetshenziswa ukuxazulula izinkinga ezibandakanya izibalo nokungaziwa kwe-angular. Isibonelo, uma unama-engeli amabili ahambisanayo, futhi eyodwa yawo ingu "x", ungabeka isibalo esilandelayo: x + (90 – x) = 90. Ukuxazulula le zibalo, uthola ukuthi x = 45 degrees kanye ne-engeli yayo. okuhambisanayo kungu-90 – 45 = 45 degrees.
Ukuphetha, ama-engeli ahambisanayo ayithuluzi lezibalo eliyisisekelo elisivumela ukuba sihlaziye futhi sixazulule izinkinga ezihlobene nejometri kanye ne-trigonometry. Ngokubala kahle ama-engeli ahambisanayo, singathola ulwazi olubalulekile mayelana nokukalwa kwama-engeli kunoma yisiphi isithombe sejiyomethri.
Kubalulekile ukukhumbula ukuthi ama-engeli ahambisanayo angeza ama-degree angama-90, okusho ukuthi Lapho sazi ukukalwa kwesinye sazo, singakwazi ukunquma kalula ukubaluleka kwesinye. Lokhu kubaluleke kakhulu ezinkingeni ezibandakanya imigqa ehambisanayo nama-engeli ashintshanayo, lapho ama-engeli ahambisanayo edlala indima ebalulekile esixazululweni.
Ukwengeza, sibone izibonelo ezingokoqobo zendlela yokubala ama-engeli ahambisanayo ezimweni ezihlukene, ngokusebenzisa amafomula athile noma ngobudlelwano bezibalo phakathi kwama-engeli aziwayo. Kusukela kulezi zibonelo, sijulise ukuqonda kwethu kwama-engeli ahambisanayo kanye nendlela yokuwasebenzisa ekuxazululeni izinkinga.
Sithemba ukuthi lesi sihloko sibe usizo futhi manje uzizwa uqiniseka ngokwengeziwe lapho ubala futhi usebenza ngama-engeli ahambisanayo. Khumbula ukuzilolonga njalo ngokuzivocavoca ukuze uqinise amakhono akho futhi uqinise ukuqonda kwakho lesi sihloko. Qhubeka uhlola umhlaba othakazelisayo wejiyomethri ne-trigonometry, futhi uqhubeke ufunda okwengeziwe nsuku zonke!
Ngingu-Sebastián Vidal, unjiniyela wekhompyutha ozifelayo ngobuchwepheshe kanye ne-DIY. Ngaphezu kwalokho, ngingumdali we tecnobits.com, lapho ngabelana khona ngezifundo zokwenza ubuchwepheshe bufinyeleleke kakhudlwana futhi buqonde wonke umuntu.