Goniometricke funkcie
Ako som uz spominal na konci rubriky o Pytagorovej vety, v tejto casti sa budem zaoberat goniometrickymi funkciami.
Definicia: Goniometricke funkcie vyjadruju vztah medzi velkostmi ostrych uhlov v pravouhlom trojuholniku a pomermi dlzok stran daneho trojuholniku... Mame trojuholnik ABC so stranami a,b,c:
Plati potom vztahy
:
Toto pravidlo by platilo i keby sme chceli pocitat uhol naprotilahlom uhlu, teda uhlu pri bode B. V tomto pripade by sa strana a zmenila na přilehlu odvěsnu a strana b by sa zmenila na protilehlú odvěsnu. NO sposob pocitania by zostal rovnaky.
Obcas je lepsie a prehladnejsie goniometricke funkcie vyjadrovat pomocou tzv. jednotkovej kruznice
. Pomocou tejto kruznice su definovane funkcie sinus, cosinus, tangens a cotangens, kde mozme jasne vidiet vztahy odvesien a predpony.
Pre jednoduchost pocitania je mozne casto najst tabulku pre zakladne vypocty goniometrickych funkcii, ktore prevadzaju goniometricke funkcie zakladnych uhlov ako je 0°, 30° ,45° ,60° ,90° do zlomkoveho tvaru pre jednoduchsie pocitanie. Kedze sa mi dost casto stava, ze potrebujem pocitat uhly zlozitejsie nez su zakladne preto sem uvediem rozsirenu tabulku .
Ako mozeme vidiet, su tu prevody na zlomky aj pre neobvykle uhly ako je 18° ,36° , 67° 37` , atd. Samozrejme takych to prepoctov goniometrickych funkcii do zlomkoveho tvaru je nespocetne vela a odvodit si ich mozete i s trochou goniometrickych znalosti i sami. No vecsinou vam budu staciet tie zakladne
Goniometricke funkcie sa daju ece pocitat pomocou nekonecnyc radov a limit. V tomto pripade konkretne podla Taylorovho radu.
fakta o goniometrickych fciach:
- funkcia sin(x) je vzdy neparna fcia, plati sin(-x) = - sin(x)
- funkcia cos(x) je vzdy parna fcia, plati cos(-x) = cos(x)
- funkcia tg(x) je vzdy neparna fcia, plati tg(-x) = - tg(x)
- funkcia cotg(x) je vzdy neparna fcia, plati cotg(-x) = - cotg(x)
a nakoniec... casto vyuzivane vzorce, ktore sa vam budu urco hodit:
Zakladne kere potrebujete pre zakladne operacie s goniometrickymi funkciami
A taktiez vzorce kere budete potrebovat menej, ale obcas sa celkom hodia
Komentáře
Přehled komentářů
Hi there! I could have sworn I've visited your blog before but after browsing through many of the posts I realized it's new to me. Anyhow, I'm certainly pleased I found it and I'll be book-marking it and checking back frequently! saho.infoforwomen.be/map19.php ta bort asfalt frГҐn bilen
rГёd rundt om Гёjnene infoforwomen.be
(infoforwomen.be, 19. 9. 2020 14:59)
Hey there! This post couldn't be written any better! Reading through this post reminds me of my good old room mate! He always kept chatting about this. I will forward this page to him. Fairly certain he will have a good read. Many thanks for sharing! stolo.infoforwomen.be/map7.php rГёd rundt om Гёjnene
black friday lampor infoforwomen.be
(infoforwomen.be, 19. 9. 2020 13:38)
When I originally commented I clicked the "Notify me when new comments are added" checkbox and now each time a comment is added I get three emails with the same comment. Is there any way you can remove people from that service? Thanks a lot! ipma.infoforwomen.be/map17.php black friday lampor
klänning stor storlek infoforwomen.be
(infoforwomen.be, 19. 9. 2020 12:19)
Hi, yup this post is actually pleasant and I have learned lot of things from it on the topic of blogging. thanks. retar.infoforwomen.be/map6.php klänning stor storlek
adnet spegel kopia infoforwomen.be
(infoforwomen.be, 19. 9. 2020 11:01)
This article will help the internet visitors for setting up new website or even a blog from start to end. prol.infoforwomen.be/map31.php adnet spegel kopia
pernilla wahlgren klänning infoforwomen.be
(infoforwomen.be, 19. 9. 2020 9:41)
Good info. Lucky me I came across your website by accident (stumbleupon). I've book-marked it for later! retar.infoforwomen.be/map20.php pernilla wahlgren klänning
kokosbollar med dadlar infoforwomen.be
(infoforwomen.be, 19. 9. 2020 8:22)
I couldn't resist commenting. Perfectly written! flywh.infoforwomen.be/map7.php kokosbollar med dadlar
köpa guess klocka infoforwomen.nl
(infoforwomen.nl, 19. 9. 2020 7:31)
You are so awesome! I do not suppose I have read through anything like this before. So wonderful to discover somebody with some unique thoughts on this issue. Seriously.. thanks for starting this up. This web site is something that's needed on the internet, someone with a bit of originality! infoforwomen.nl/map28.php köpa guess klocka
1 ГҐrskalas dekorationer infoforwomen.be
(infoforwomen.be, 19. 9. 2020 7:03)
You're so interesting! I don't believe I have read anything like this before. So nice to find another person with genuine thoughts on this issue. Really.. thank you for starting this up. This website is one thing that is required on the internet, someone with a bit of originality! carme.infoforwomen.be/map31.php 1 ГҐrskalas dekorationer
hud och spa specialisten infoforwomen.be
(infoforwomen.be, 19. 9. 2020 4:24)
Great blog! Is your theme custom made or did you download it from somewhere? A theme like yours with a few simple adjustements would really make my blog stand out. Please let me know where you got your theme. Kudos lyoho.infoforwomen.be/map3.php hud och spa specialisten
kliar och svider i slidöppningen infoforwomen.be
(infoforwomen.be, 19. 9. 2020 3:03)
If you are going for best contents like I do, only go to see this web page all the time as it gives feature contents, thanks whofi.infoforwomen.be/map9.php kliar och svider i slidöppningen
color touch instamatic infoforwomen.be
(infoforwomen.be, 18. 9. 2020 23:55)
Hello! Do you use Twitter? I'd like to follow you if that would be ok. I'm absolutely enjoying your blog and look forward to new updates. match.infoforwomen.be/map27.php color touch instamatic
säga upp bahnhof infoforwomen.be
(infoforwomen.be, 18. 9. 2020 23:08)
Hello everybody, here every person is sharing these know-how, thus it's nice to read this web site, and I used to go to see this web site all the time. misli.infoforwomen.be/map18.php säga upp bahnhof
coola tröjor pojkar infoforwomen.be
(infoforwomen.be, 18. 9. 2020 21:48)
I visited various websites except the audio feature for audio songs existing at this web page is in fact wonderful. beaut.infoforwomen.be/map12.php coola tröjor pojkar
sticker till i Г¶gat infoforwomen.be
(infoforwomen.be, 18. 9. 2020 20:28)
Hi there mates, how is everything, and what you want to say about this post, in my view its actually awesome for me. liese.infoforwomen.be/map26.php sticker till i Г¶gat
sarah dawn finer bröst infoforwomen.nl
(infoforwomen.nl, 18. 9. 2020 19:43)
Fantastic blog! Do you have any suggestions for aspiring writers? I'm hoping to start my own website soon but I'm a little lost on everything. Would you propose starting with a free platform like Wordpress or go for a paid option? There are so many options out there that I'm totally confused .. Any suggestions? Appreciate it! ryaps.infoforwomen.nl/map9.php sarah dawn finer bröst
stort badkar utan bubbel infoforwomen.be
(infoforwomen.be, 18. 9. 2020 17:44)
I believe that is one of the so much vital information for me. And i am glad studying your article. However should remark on few normal issues, The site taste is great, the articles is truly nice : D. Just right activity, cheers prurb.infoforwomen.be/map3.php stort badkar utan bubbel
förlovningsring till honom infoforwomen.be
(infoforwomen.be, 18. 9. 2020 15:02)
It's amazing in support of me to have a web page, which is beneficial in support of my knowledge. thanks admin beaut.infoforwomen.be/map18.php förlovningsring till honom
ont i leder cancer infoforwomen.be
(infoforwomen.be, 18. 9. 2020 13:44)
I am regular visitor, how are you everybody? This paragraph posted at this site is genuinely nice. orat.infoforwomen.be/map32.php ont i leder cancer
byta frГҐn telia till comhem infoforwomen.nl
(infoforwomen.nl, 18. 9. 2020 13:40)
Hello there, just became aware of your blog through Google, and found that it's really informative. I'm gonna watch out for brussels. I'll appreciate if you continue this in future. Numerous people will be benefited from your writing. Cheers! lafa.infoforwomen.nl/map13.php byta frГҐn telia till comhem
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 | 50 | 51 | 52 | 53 | 54 | 55 | 56 | 57 | 58
ta bort asfalt frГҐn bilen infoforwomen.be
(infoforwomen.be, 19. 9. 2020 16:19)