{"id":360,"date":"2023-07-04T16:49:36","date_gmt":"2023-07-04T16:49:36","guid":{"rendered":"https:\/\/mathority.org\/id\/fungsi-kosinus\/"},"modified":"2023-07-04T16:49:36","modified_gmt":"2023-07-04T16:49:36","slug":"fungsi-kosinus","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/fungsi-kosinus\/","title":{"rendered":"Fungsi kosinus"},"content":{"rendered":"<p>Di halaman ini Anda akan menemukan segala sesuatu tentang fungsi kosinus: apa itu fungsi, apa rumusnya, cara merepresentasikannya dalam grafik, ciri-ciri fungsi, amplitudo, periode, dll. Selain itu, Anda akan dapat melihat berbagai contoh fungsi kosinus untuk memahami konsepnya sepenuhnya. Bahkan menjelaskan teorema kosinus dan hubungan fungsi kosinus dengan rasio trigonometri lainnya. <\/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=\"contoh fungsi cosinus\" 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> rumus fungsi cosinus <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\"> <strong>Fungsi kosinus<\/strong> sudut \u03b1 merupakan fungsi trigonometri yang rumusnya didefinisikan sebagai perbandingan antara kaki yang bersebelahan (atau berdekatan) dengan sisi miring suatu segitiga siku-siku (segitiga dengan sudut siku-siku). <\/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=\"apa rumus fungsi kosinus\" 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=\"cosinus adalah fungsi trigonometri\" class=\"wp-image-277\" width=\"233\" height=\"159\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<p> Fungsi matematika jenis ini disebut juga dengan fungsi cosinus, cosinus, atau cosinus.<\/p>\n<p> Fungsi kosinus adalah salah satu dari tiga rasio trigonometri yang paling terkenal, bersama dengan sinus dan tangen suatu sudut. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"valores-caracteristicos-de-la-funcion-coseno\"><\/span> Nilai karakteristik fungsi kosinus<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Beberapa sudut sering berulang dan oleh karena itu, akan lebih mudah untuk mengetahui nilai fungsi kosinus pada sudut-sudut ini: <\/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=\"nilai karakteristik fungsi kosinus\" class=\"wp-image-291\" width=\"719\" height=\"190\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Jadi, tanda fungsi cosinus bergantung pada kuadran dimana sudut tersebut berada: jika sudut berada pada kuadran pertama atau keempat maka kosinusnya positif, sebaliknya jika sudut berada pada kuadran kedua atau ketiga. , kosinusnya akan menjadi negatif. <\/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=\"tanda tangani fungsi kosinus\" 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> Representasi grafis dari fungsi kosinus<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Dengan tabel nilai yang kita lihat di bagian sebelumnya, kita dapat membuat grafik fungsi kosinus. Dan dengan membuat grafik fungsi kosinus, kita peroleh: <\/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=\"cara membuat grafik fungsi kosinus\" class=\"wp-image-293\" width=\"851\" height=\"238\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Terlihat dari grafik, nilai bayangan fungsi kosinus selalu antara +1 dan -1, yaitu dibatasi di atas oleh +1 dan di bawah oleh -1. Selain itu, nilainya diulang setiap 360 derajat (2\u03c0 radian), sehingga merupakan <strong>fungsi periodik<\/strong> yang periodenya 360\u00ba.<\/p>\n<p> Sebaliknya, dalam grafik ini kita sangat memahami bahwa fungsi kosinusnya genap, karena elemen-elemen yang berlawanan memiliki bayangan yang sama, artinya simetris terhadap sumbu komputer (sumbu Y). Misalnya cosinus 90\u00ba adalah 0 dan -90\u00ba adalah 0.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-funcion-coseno\"><\/span> Sifat-sifat fungsi kosinus<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Fungsi cosinus mempunyai ciri-ciri sebagai berikut:<\/p>\n<ul>\n<li> Domain fungsi kosinus adalah semua bilangan real karena, seperti yang ditunjukkan grafik, fungsi tersebut ada untuk sembarang nilai variabel bebas x.<\/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> Jalur atau rentang fungsi kosinus adalah dari negatif 1 ke positif 1 (keduanya inklusif).<\/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> Merupakan fungsi kontinu dan berpasangan dengan periodisitas 2\u03c0.<\/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> Fungsi trigonometri jenis ini mempunyai titik potong tunggal dengan sumbu OY di titik (0,1).<\/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> Sebaliknya, ia secara berkala memotong absis (sumbu X) pada beberapa koordinat ganjil dari rata-rata pi.<\/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> Fungsi kosinus maksimum terjadi ketika:<\/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> Dan sebaliknya, fungsi kosinus minimum terjadi pada:<\/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> Turunan fungsi cosinus adalah sinus yang tandanya berubah:<\/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> Terakhir, integral dari fungsi cosinus adalah sinus: <\/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> Periode dan amplitudo fungsi kosinus<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Seperti yang kita lihat pada grafiknya, fungsi kosinus adalah fungsi periodik, yaitu nilainya berulang dengan frekuensi. Selain itu, nilai maksimum dan minimum di mana ia berosilasi bergantung pada amplitudonya. Jadi, dua ciri penting yang menentukan fungsi kosinus adalah periode dan amplitudonya:<\/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> <strong>Periode<\/strong> fungsi kosinus adalah jarak antara dua titik di mana grafik diulang dan dihitung dengan rumus berikut:<\/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> <strong>Besarnya<\/strong> fungsi kosinus setara dengan koefisien di depan suku kosinus.<\/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> Di bawah ini Anda dapat melihat grafik yang menunjukkan pengaruh perubahan periode atau amplitudo: <\/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=\"contoh fungsi cosinus\" class=\"wp-image-289\" width=\"802\" height=\"347\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Pada fungsi yang ditunjukkan dengan warna hijau, kita dapat melihat bahwa dengan menggandakan amplitudo, fungsinya berubah dari +2 ke -2, bukan +1 ke -1. Di sisi lain, dalam fungsi yang ditunjukkan dengan warna merah, Anda dapat melihat bagaimana fungsi ini berjalan dua kali lebih cepat dari fungsi kosinus \u201ckanonik\u201d, karena periodenya telah dibelah dua.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"teorema-del-coseno\"><\/span> teorema kosinus<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Meskipun rumus kosinus biasanya digunakan pada segitiga siku-siku, ada juga teorema yang dapat diterapkan pada semua jenis segitiga: teorema kosinus atau kosinus.<\/p>\n<p> <strong>Teorema kosinus<\/strong> menghubungkan sisi dan sudut suatu segitiga sebagai berikut: <\/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> Hubungan fungsi kosinus dengan perbandingan trigonometri lainnya<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Maka Anda memiliki hubungan kosinus dengan rasio trigonometri terpenting dalam trigonometri.<\/p>\n<h3 class=\"wp-block-heading\"> Hubungan dengan payudara<\/h3>\n<ul>\n<li> Grafik fungsi sinus ekuivalen dengan kurva cosinus namun bergeser\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> di sebelah kanan, kedua fungsi tersebut dapat dihubungkan dengan ekspresi berikut:<\/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> Anda juga dapat menghubungkan sinus dan kosinus dengan identitas dasar trigonometri:<\/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\"> kaitannya dengan garis singgung<\/h3>\n<ul>\n<li> Meskipun pembuktiannya rumit, kosinus hanya dapat dinyatakan menurut garis singgung:<\/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\"> Hubungan dengan garis potong<\/h3>\n<ul>\n<li> Kosinus dan garis potong merupakan invers perkalian:<\/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\"> Hubungan dengan kosekan<\/h3>\n<ul>\n<li> Kosinus dapat diselesaikan sehingga hanya bergantung pada kosekan:<\/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\"> Hubungan dengan kotangen<\/h3>\n<ul>\n<li> Kosinus dan kotangen suatu sudut dihubungkan dengan persamaan berikut:<\/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>Di halaman ini Anda akan menemukan segala sesuatu tentang fungsi kosinus: apa itu fungsi, apa rumusnya, cara merepresentasikannya dalam grafik, ciri-ciri fungsi, amplitudo, periode, dll. Selain itu, Anda akan dapat melihat berbagai contoh fungsi kosinus untuk memahami konsepnya sepenuhnya. Bahkan menjelaskan teorema kosinus dan hubungan fungsi kosinus dengan rasio trigonometri lainnya. rumus fungsi cosinus Fungsi &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/fungsi-kosinus\/\"> <span class=\"screen-reader-text\">Fungsi kosinus<\/span> Selengkapnya &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":[49],"tags":[],"class_list":["post-360","post","type-post","status-publish","format-standard","hentry","category-representasi-fungsi"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Fungsi kosinus - Mathoritas<\/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\/id\/fungsi-kosinus\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fungsi kosinus - Mathoritas\" \/>\n<meta property=\"og:description\" content=\"Di halaman ini Anda akan menemukan segala sesuatu tentang fungsi kosinus: apa itu fungsi, apa rumusnya, cara merepresentasikannya dalam grafik, ciri-ciri fungsi, amplitudo, periode, dll. Selain itu, Anda akan dapat melihat berbagai contoh fungsi kosinus untuk memahami konsepnya sepenuhnya. Bahkan menjelaskan teorema kosinus dan hubungan fungsi kosinus dengan rasio trigonometri lainnya. rumus fungsi cosinus Fungsi &hellip; Fungsi kosinus Selengkapnya &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/fungsi-kosinus\/\" \/>\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=\"Tim Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Tim Mathority\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/id\/fungsi-kosinus\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/fungsi-kosinus\/\"},\"author\":{\"name\":\"Tim Mathority\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\"},\"headline\":\"Fungsi kosinus\",\"datePublished\":\"2023-07-04T16:49:36+00:00\",\"dateModified\":\"2023-07-04T16:49:36+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/id\/fungsi-kosinus\/\"},\"wordCount\":643,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"articleSection\":[\"Representasi fungsi\"],\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/id\/fungsi-kosinus\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/id\/fungsi-kosinus\/\",\"url\":\"https:\/\/mathority.org\/id\/fungsi-kosinus\/\",\"name\":\"Fungsi kosinus - Mathoritas\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/#website\"},\"datePublished\":\"2023-07-04T16:49:36+00:00\",\"dateModified\":\"2023-07-04T16:49:36+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/id\/fungsi-kosinus\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/id\/fungsi-kosinus\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/id\/fungsi-kosinus\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Fungsi kosinus\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/id\/#website\",\"url\":\"https:\/\/mathority.org\/id\/\",\"name\":\"Mathority\",\"description\":\"Di mana rasa ingin tahu bertemu dengan perhitungan!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/id\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/id\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/id\/wp-content\/uploads\/2023\/09\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/id\/wp-content\/uploads\/2023\/09\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\",\"name\":\"Tim Mathority\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"caption\":\"Tim Mathority\"},\"sameAs\":[\"http:\/\/mathority.org\/id\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Fungsi kosinus - Mathoritas","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/id\/fungsi-kosinus\/","og_locale":"id_ID","og_type":"article","og_title":"Fungsi kosinus - Mathoritas","og_description":"Di halaman ini Anda akan menemukan segala sesuatu tentang fungsi kosinus: apa itu fungsi, apa rumusnya, cara merepresentasikannya dalam grafik, ciri-ciri fungsi, amplitudo, periode, dll. 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