{"id":363,"date":"2023-07-04T16:49:36","date_gmt":"2023-07-04T16:49:36","guid":{"rendered":"https:\/\/mathority.org\/tr\/kosinus-fonksiyonu\/"},"modified":"2023-07-04T16:49:36","modified_gmt":"2023-07-04T16:49:36","slug":"kosinus-fonksiyonu","status":"publish","type":"post","link":"https:\/\/mathority.org\/tr\/kosinus-fonksiyonu\/","title":{"rendered":"Kosin\u00fcs fonksiyonu"},"content":{"rendered":"<p>Bu sayfada kosin\u00fcs fonksiyonu hakk\u0131nda her \u015feyi bulacaks\u0131n\u0131z: nedir, form\u00fcl\u00fc nedir, grafikte nas\u0131l g\u00f6sterilir, fonksiyonun \u00f6zellikleri, genlik, periyot vb. Ek olarak, kavram\u0131 tam olarak anlamak i\u00e7in kosin\u00fcs fonksiyonlar\u0131n\u0131n farkl\u0131 \u00f6rneklerini g\u00f6rebileceksiniz. Hatta kosin\u00fcs teoremini ve kosin\u00fcs fonksiyonunun di\u011fer trigonometrik oranlarla olan ili\u015fkilerini bile a\u00e7\u0131kl\u0131yor. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-de-fonctions-cosinus.webp\" alt=\"kosin\u00fcs fonksiyonu \u00f6rnekleri\" class=\"wp-image-289\" width=\"766\" height=\"331\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-funcion-coseno\"><\/span> kosin\u00fcs fonksiyonu form\u00fcl\u00fc <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\"> Bir a a\u00e7\u0131s\u0131n\u0131n <strong>kosin\u00fcs fonksiyonu<\/strong> , form\u00fcl\u00fc bir dik \u00fc\u00e7genin (dik a\u00e7\u0131l\u0131 \u00fc\u00e7gen) biti\u015fik (veya biti\u015fik) kenar\u0131 ile hipoten\u00fcs\u00fc aras\u0131ndaki oran olarak tan\u0131mlanan trigonometrik bir fonksiyondur. <\/p>\n<\/div>\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-159\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/quelle-est-la-formule-de-la-fonction-cosinus.webp\" alt=\"kosin\u00fcs fonksiyonunun form\u00fcl\u00fc nedir\" class=\"wp-image-290\" width=\"279\" height=\"66\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonctions-trigonometriques.webp\" alt=\"kosin\u00fcs trigonometrik bir fonksiyondur\" class=\"wp-image-277\" width=\"233\" height=\"159\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<p> Bu t\u00fcr matematiksel fonksiyona kosin\u00fcs, kosin\u00fcs veya kosin\u00fcs fonksiyonu da denir.<\/p>\n<p> Kosin\u00fcs fonksiyonu, bir a\u00e7\u0131n\u0131n sin\u00fcs\u00fc ve tanjant\u0131yla birlikte en iyi bilinen \u00fc\u00e7 trigonometrik orandan biridir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"valores-caracteristicos-de-la-funcion-coseno\"><\/span> Kosin\u00fcs fonksiyonunun karakteristik de\u011ferleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Baz\u0131 a\u00e7\u0131lar s\u0131k s\u0131k tekrarlan\u0131r ve bu nedenle kosin\u00fcs fonksiyonunun de\u011ferini bu a\u00e7\u0131larda bilmek uygundur: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/valeurs-caracteristiques-fonction-cosinus.webp\" alt=\"karakteristik de\u011ferler kosin\u00fcs fonksiyonu\" class=\"wp-image-291\" width=\"719\" height=\"190\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Bu nedenle, kosin\u00fcs fonksiyonunun i\u015fareti, a\u00e7\u0131n\u0131n bulundu\u011fu \u00e7eyre\u011fe ba\u011fl\u0131d\u0131r: a\u00e7\u0131 birinci veya d\u00f6rd\u00fcnc\u00fc \u00e7eyrekte ise kosin\u00fcs pozitif olacakt\u0131r, di\u011fer yandan a\u00e7\u0131 ikinci veya \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrekte ise kosin\u00fcs pozitif olacakt\u0131r. kosin\u00fcs negatif olacakt\u0131r. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/signe-fonction-cosinus.webp\" alt=\"i\u015faret kosin\u00fcs fonksiyonu\" class=\"wp-image-292\" width=\"284\" height=\"276\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"representacion-grafica-de-la-funcion-coseno\"><\/span> Kosin\u00fcs fonksiyonunun grafiksel g\u00f6sterimi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00d6nceki b\u00f6l\u00fcmde g\u00f6rd\u00fc\u011f\u00fcm\u00fcz de\u011ferler tablosuyla kosin\u00fcs fonksiyonunun grafi\u011fini \u00e7izebiliriz. Kosin\u00fcs fonksiyonunun grafi\u011fini \u00e7izerek \u015funu elde ederiz: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-graphique-cosinus.webp\" alt=\"kosin\u00fcs fonksiyonunun grafi\u011fi nas\u0131l \u00e7izilir\" class=\"wp-image-293\" width=\"851\" height=\"238\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Grafikten de g\u00f6rebilece\u011finiz gibi kosin\u00fcs fonksiyonunun g\u00f6r\u00fcnt\u00fclerinin de\u011ferleri her zaman +1 ile -1 aras\u0131ndad\u0131r, yani \u00fcstte +1, altta -1 ile s\u0131n\u0131rlanm\u0131\u015ft\u0131r. Ayr\u0131ca de\u011ferler her 360 derecede (2\u03c0 radyan) tekrarlan\u0131r, dolay\u0131s\u0131yla periyodu 360\u00b0 olan <strong>periyodik bir fonksiyondur<\/strong> .<\/p>\n<p> \u00d6te yandan, bu grafikte kosin\u00fcs fonksiyonunun \u00e7ift oldu\u011funu \u00e7ok iyi anl\u0131yoruz, \u00e7\u00fcnk\u00fc kar\u015f\u0131t elemanlar\u0131 ayn\u0131 g\u00f6r\u00fcnt\u00fcye sahiptir, yani bilgisayar eksenine (Y ekseni) g\u00f6re simetriktir. \u00d6rne\u011fin 90\u00b0&#8217;nin kosin\u00fcs\u00fc 0, -90\u00b0&#8217;nin kosin\u00fcs\u00fc ise 0&#8217;d\u0131r.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-funcion-coseno\"><\/span> Kosin\u00fcs fonksiyonunun \u00f6zellikleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Kosin\u00fcs fonksiyonu a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/p>\n<ul>\n<li> Kosin\u00fcs fonksiyonunun tan\u0131m k\u00fcmesinin tamam\u0131 ger\u00e7ek say\u0131lard\u0131r, \u00e7\u00fcnk\u00fc grafi\u011fin g\u00f6sterdi\u011fi gibi, fonksiyon ba\u011f\u0131ms\u0131z de\u011fi\u015fken x&#8217;in herhangi bir de\u011feri i\u00e7in mevcuttur.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0cd1539b66edeb38040ed80168e1fd9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"90\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> Kosin\u00fcs fonksiyonunun yolu veya aral\u0131\u011f\u0131 negatif 1&#8217;den pozitif 1&#8217;e (her ikisi de dahil) kadard\u0131r.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e482af9546623edf3132cf9076a0a2d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Im } f= [-1,1]\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"109\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> S\u00fcrekli bir fonksiyondur ve periyodikli\u011fi 2\u03c0 olan bir \u00e7ifttir.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-73d05981a1aa8f4e0582314e95d39e41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos }x = \\text{cos}(-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"124\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Bu tip trigonometrik fonksiyonun OY ekseni ile (0,1) noktas\u0131nda tek bir kesi\u015fme noktas\u0131 vard\u0131r.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dd01415f329053c1a450867378fc1582_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Bunun yerine, periyodik olarak apsisi (X ekseni) ortalama pi&#8217;nin tek \u00e7oklu koordinatlar\u0131nda keser.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fd7154018fa3a27e9ef05fbd795c0ab0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{\\pi}{2}+k\\pi ,0\\right) \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"174\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> Kosin\u00fcs fonksiyonunun maksimumu \u015fu durumlarda ortaya \u00e7\u0131kar:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-afd30b6f4068ae25bcf6f5c3c5383b49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = 2\\pi k \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"142\" style=\"vertical-align: -1px;\"><\/p>\n<\/p>\n<ul>\n<li> Ve tersine, kosin\u00fcs fonksiyonunun minimumu \u015fu noktada meydana gelir:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36b69eacefd39b7629ec6390f9aa2534_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\pi(2k +1 ) \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"186\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Kosin\u00fcs fonksiyonunun t\u00fcrevi, i\u015fareti de\u011fi\u015ftirilmi\u015f sin\u00fcst\u00fcr:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b95627ad9c9def0c5067ac09d10a2e6e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{cos } x \\ \\longrightarrow \\ f'(x)= -\\text{sen } x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"265\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Son olarak kosin\u00fcs fonksiyonunun integrali sin\u00fcst\u00fcr: <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-24ca02414a475f41f1834c4e98945f5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\int \\text{cos } x \\ dx= \\text{sen } x + C\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"186\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"periodo-y-amplitud-de-la-funcion-coseno\"><\/span> Kosin\u00fcs fonksiyonunun periyodu ve genli\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Grafi\u011finde g\u00f6rd\u00fc\u011f\u00fcm\u00fcz gibi kosin\u00fcs fonksiyonu periyodik bir fonksiyondur, yani de\u011ferleri bir frekansla tekrarlan\u0131r. Ek olarak sal\u0131n\u0131m yapt\u0131\u011f\u0131 maksimum ve minimum de\u011ferler genli\u011fine ba\u011fl\u0131d\u0131r. Dolay\u0131s\u0131yla kosin\u00fcs fonksiyonunu belirleyen iki \u00f6nemli \u00f6zellik periyodu ve genli\u011fidir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5d7700fc10f642ba455e6ed144d6d920_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= A\\text{cos}(wx)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"131\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Kosin\u00fcs fonksiyonunun <strong>periyodu<\/strong> , grafi\u011fin tekrarland\u0131\u011f\u0131 iki nokta aras\u0131ndaki mesafedir ve a\u015fa\u011f\u0131daki form\u00fclle hesaplan\u0131r:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d7fb20df076d5a234a762eddb6296460_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Periodo}=T=\\cfrac{2\\pi}{w}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"141\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> Kosin\u00fcs fonksiyonunun <strong>b\u00fcy\u00fckl\u00fc\u011f\u00fc,<\/strong> kosin\u00fcs teriminin \u00f6n\u00fcndeki katsay\u0131ya e\u015fde\u011ferdir.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fa2caa412704d15a278c5d8a0f1773d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Amplitud}=A\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"111\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> A\u015fa\u011f\u0131da periyodu veya genli\u011fi de\u011fi\u015ftirmenin etkilerini g\u00f6steren bir grafik g\u00f6rebilirsiniz: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-de-fonctions-cosinus.webp\" alt=\"kosin\u00fcs fonksiyonu \u00f6rnekleri\" class=\"wp-image-289\" width=\"802\" height=\"347\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Ye\u015fil renkle g\u00f6sterilen fonksiyonda, genli\u011fin iki kat\u0131na \u00e7\u0131kar\u0131lmas\u0131yla fonksiyonun +1&#8217;den -1&#8217;e de\u011fil, +2&#8217;den -2&#8217;ye gitti\u011fini g\u00f6rebiliriz. \u00d6te yandan k\u0131rm\u0131z\u0131yla g\u00f6sterilen fonksiyonda periyodu yar\u0131ya indirildi\u011fi i\u00e7in \u201ckanonik\u201d kosin\u00fcs fonksiyonundan iki kat daha h\u0131zl\u0131 gitti\u011fini g\u00f6rebilirsiniz.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"teorema-del-coseno\"><\/span> kosin\u00fcs teoremi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Kosin\u00fcs form\u00fcl\u00fc normalde dik \u00fc\u00e7genlerde kullan\u0131lsa da, her t\u00fcr \u00fc\u00e7gene uygulanabilecek bir teorem de vard\u0131r: kosin\u00fcs veya kosin\u00fcs teoremi.<\/p>\n<p> <strong>Kosin\u00fcs teoremi<\/strong> herhangi bir \u00fc\u00e7genin kenarlar\u0131n\u0131 ve a\u00e7\u0131lar\u0131n\u0131 \u015fu \u015fekilde ili\u015fkilendirir: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/theoreme-des-sinus-ou-des-sinus.webp\" alt=\"\" class=\"wp-image-281\" width=\"188\" height=\"136\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bc98603a3dca4ccd66aa95e0b9012313_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"a^2=b^2+c^2-2\\cdot b \\cdot c\\cdot \\text{cos }\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"218\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dadb264e4d51fe54c8bab49844451a6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"b^2=a^2+c^2-2\\cdot a \\cdot c\\cdot \\text{cos }\\beta\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"220\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-106b89d1c682a376ffe407061c1cf6b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c^2=a^2+b^2-2\\cdot a \\cdot b\\cdot \\text{cos }\\gamma\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"219\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"relaciones-de-la-funcion-coseno-con-otras-razones-trigonometricas\"><\/span> Kosin\u00fcs fonksiyonunun di\u011fer trigonometrik oranlarla ili\u015fkileri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Daha sonra trigonometrideki en \u00f6nemli trigonometrik oranlarla kosin\u00fcs ili\u015fkilerini elde edersiniz.<\/p>\n<h3 class=\"wp-block-heading\"> Meme ile ili\u015fki<\/h3>\n<ul>\n<li> Sin\u00fcs fonksiyonunun grafi\u011fi kosin\u00fcs e\u011frisine e\u015fde\u011ferdir ancak kayd\u0131r\u0131lm\u0131\u015ft\u0131r\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-872406b5cba35c728fec57380ddc6571_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{\\pi}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"11\" style=\"vertical-align: -12px;\"><\/p>\n<p> sa\u011f tarafta, iki i\u015flev bu nedenle a\u015fa\u011f\u0131daki ifadeyle ba\u011flanabilir:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b7c0174ac34e19bd5d5031a57511f3ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos }\\alpha = \\text{sen}\\left(\\alpha + \\frac{\\pi}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"159\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> Ayr\u0131ca sin\u00fcs ve kosin\u00fcs\u00fc trigonometrik temel \u00f6zde\u015flikle ili\u015fkilendirebilirsiniz:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-205d778d5fa04e4bd4a8543489c6f2f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{sen}^2\\alpha + \\text{cos}^2\\alpha=1\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"140\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> te\u011fet ile ili\u015fki<\/h3>\n<ul>\n<li> Kan\u0131tlanmas\u0131 karma\u015f\u0131k olmas\u0131na ra\u011fmen kosin\u00fcs yaln\u0131zca te\u011fete g\u00f6re ifade edilebilir:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5f02ab2f30c72a36534ca72504b3f3bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos }\\alpha = \\pm \\cfrac{1}{\\sqrt{1+\\text{tg}^2\\alpha \\vphantom{\\bigl( }}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"164\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> Sekant ile ili\u015fki<\/h3>\n<ul>\n<li> Kosin\u00fcs ve sekant \u00e7arp\u0131msal terslerdir:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d594068747a2bdf9e3825973cb563161_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos }\\alpha =  \\cfrac{1}{\\text{sec }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"108\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> Kosekant ile ili\u015fki<\/h3>\n<ul>\n<li> Kosin\u00fcs, yaln\u0131zca kosekanta ba\u011fl\u0131 olacak \u015fekilde \u00e7\u00f6z\u00fclebilir:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f5440750856c43de3a6c242335ff44a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos }\\alpha =\\pm \\cfrac{\\sqrt{\\text{csc}^2\\alpha -1 } }{\\text{csc }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"168\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> Kotanjant ile ili\u015fki<\/h3>\n<ul>\n<li> Bir a\u00e7\u0131n\u0131n kosin\u00fcs\u00fc ve kotanjant\u0131 a\u015fa\u011f\u0131daki denklemle ili\u015fkilidir:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f0646b8d7d5ee36eac5b6b1889022851_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{cos }\\alpha =\\pm \\cfrac{\\text{cot }\\alpha}{\\sqrt{1+\\text{cot}^2\\alpha \\vphantom{\\bigl( }}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"172\" style=\"vertical-align: -30px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu sayfada kosin\u00fcs fonksiyonu hakk\u0131nda her \u015feyi bulacaks\u0131n\u0131z: nedir, form\u00fcl\u00fc nedir, grafikte nas\u0131l g\u00f6sterilir, fonksiyonun \u00f6zellikleri, genlik, periyot vb. Ek olarak, kavram\u0131 tam olarak anlamak i\u00e7in kosin\u00fcs fonksiyonlar\u0131n\u0131n farkl\u0131 \u00f6rneklerini g\u00f6rebileceksiniz. Hatta kosin\u00fcs teoremini ve kosin\u00fcs fonksiyonunun di\u011fer trigonometrik oranlarla olan ili\u015fkilerini bile a\u00e7\u0131kl\u0131yor. kosin\u00fcs fonksiyonu form\u00fcl\u00fc Bir a a\u00e7\u0131s\u0131n\u0131n kosin\u00fcs fonksiyonu , form\u00fcl\u00fc bir &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/tr\/kosinus-fonksiyonu\/\"> <span class=\"screen-reader-text\">Kosin\u00fcs fonksiyonu<\/span> Devam\u0131 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[17],"tags":[],"class_list":["post-363","post","type-post","status-publish","format-standard","hentry","category-fonksiyon-gosterimi"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Kosin\u00fcs fonksiyonu - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/tr\/kosinus-fonksiyonu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kosin\u00fcs fonksiyonu - Mathority\" \/>\n<meta property=\"og:description\" content=\"Bu sayfada kosin\u00fcs fonksiyonu hakk\u0131nda her \u015feyi bulacaks\u0131n\u0131z: nedir, form\u00fcl\u00fc nedir, grafikte nas\u0131l g\u00f6sterilir, fonksiyonun \u00f6zellikleri, genlik, periyot vb. Ek olarak, kavram\u0131 tam olarak anlamak i\u00e7in kosin\u00fcs fonksiyonlar\u0131n\u0131n farkl\u0131 \u00f6rneklerini g\u00f6rebileceksiniz. Hatta kosin\u00fcs teoremini ve kosin\u00fcs fonksiyonunun di\u011fer trigonometrik oranlarla olan ili\u015fkilerini bile a\u00e7\u0131kl\u0131yor. kosin\u00fcs fonksiyonu form\u00fcl\u00fc Bir a a\u00e7\u0131s\u0131n\u0131n kosin\u00fcs fonksiyonu , form\u00fcl\u00fc bir &hellip; Kosin\u00fcs fonksiyonu Devam\u0131 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/tr\/kosinus-fonksiyonu\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-04T16:49:36+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemples-de-fonctions-cosinus.webp\" \/>\n<meta name=\"author\" content=\"Mathority Ekibi\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority Ekibi\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/tr\/kosinus-fonksiyonu\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/tr\/kosinus-fonksiyonu\/\"},\"author\":{\"name\":\"Mathority Ekibi\",\"@id\":\"https:\/\/mathority.org\/tr\/#\/schema\/person\/45cab21b13819e150f15eb50b4532960\"},\"headline\":\"Kosin\u00fcs fonksiyonu\",\"datePublished\":\"2023-07-04T16:49:36+00:00\",\"dateModified\":\"2023-07-04T16:49:36+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/tr\/kosinus-fonksiyonu\/\"},\"wordCount\":837,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/tr\/#organization\"},\"articleSection\":[\"Fonksiyon g\u00f6sterimi\"],\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/tr\/kosinus-fonksiyonu\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/tr\/kosinus-fonksiyonu\/\",\"url\":\"https:\/\/mathority.org\/tr\/kosinus-fonksiyonu\/\",\"name\":\"Kosin\u00fcs fonksiyonu - 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Ek olarak, kavram\u0131 tam olarak anlamak i\u00e7in kosin\u00fcs fonksiyonlar\u0131n\u0131n farkl\u0131 \u00f6rneklerini g\u00f6rebileceksiniz. 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