{"id":361,"date":"2023-07-04T16:06:25","date_gmt":"2023-07-04T16:06:25","guid":{"rendered":"https:\/\/mathority.org\/id\/fungsi-tangen\/"},"modified":"2023-07-04T16:06:25","modified_gmt":"2023-07-04T16:06:25","slug":"fungsi-tangen","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/fungsi-tangen\/","title":{"rendered":"Fungsi singgung"},"content":{"rendered":"<p>Di halaman ini Anda akan menemukan segala sesuatu tentang fungsi tangen: apa itu fungsi, apa rumusnya, cara merepresentasikannya dalam grafik, ciri-ciri fungsi, periodenya, dll. Selain itu, Anda akan dapat melihat contoh fungsi tangen untuk memahami konsepnya sepenuhnya. Ia bahkan menjelaskan teorema tangen dan hubungan fungsi tangen dengan hubungan trigonometri lainnya. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-funcion-tangente\"><\/span> Rumus fungsi tangen <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 singgung<\/strong> sudut \u03b1 merupakan fungsi trigonometri yang rumusnya didefinisikan sebagai perbandingan antara cabang yang berhadapan dengan cabang yang bersebelahan (atau berdekatan) pada 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-153\">\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\/formule-de-la-fonction-tangente.webp\" alt=\"Apa rumus fungsi tangen?\" class=\"wp-image-299\" width=\"291\" height=\"71\" 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=\"tangen 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 fungsi tangentoid, tangenoid, atau tangensial. Dan bisa diungkapkan dengan singkatan \u201ctg\u201d atau bahkan \u201ctan\u201d.<\/p>\n<p> Fungsi tangen adalah salah satu dari tiga perbandingan trigonometri yang paling terkenal, bersama dengan sinus dan kosinus suatu sudut. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"valores-caracteristicos-de-la-funcion-tangente\"><\/span> Nilai karakteristik fungsi tangen<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Ada sudut-sudut tertentu yang sering diulang dan oleh karena itu, akan lebih mudah untuk mengetahui nilai fungsi tangen 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-tangente.webp\" alt=\"nilai karakteristik fungsi tangen\" class=\"wp-image-300\" width=\"740\" height=\"195\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Sebaliknya, fungsi tangen dapat dihubungkan dengan fungsi sinus dan kosinus melalui identitas trigonometri dasar berikut:<\/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-97ecd1e5d04b9e0aa9aab914a5ef9fe4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{tg } \\alpha = \\cfrac{\\text{sen }\\alpha}{\\text{cos }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"102\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Jadi, tanda fungsi tangen bergantung pada kuadran di mana sudut tersebut berada:<\/p>\n<ul>\n<li> Jika sudut tersebut termasuk kuadran pertama, maka garis singgungnya positif, karena pada kuadran ini sinus dan kosinusnya juga positif.<\/li>\n<li> Jika sudut berada di kuadran kedua maka garis singgungnya negatif, karena pada kuadran ini sinusnya positif tetapi kosinusnya negatif.<\/li>\n<li> Jika sudutnya berada di kuadran ketiga maka tangennya positif, karena pada kuadran ini sinus dan cosinusnya negatif.<\/li>\n<li> Jika sudutnya berada di kuadran keempat, maka garis singgungnya akan negatif, karena di kuadran ini sinusnya negatif dan kosinusnya positif. <\/li>\n<\/ul>\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-signe-de-la-tangente.webp\" alt=\"tanda fungsi tangen\" class=\"wp-image-301\" width=\"305\" height=\"295\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"representacion-grafica-de-la-funcion-tangente\"><\/span> Representasi grafis dari fungsi tangen<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Dengan tabel nilai yang kita lihat di bagian sebelumnya, kita dapat membuat grafik fungsi tangen. Dan dengan menggambarkan grafik fungsi tangen, 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\/representation-graphique-fonction-tangente.webp\" alt=\"representasi grafis dari fungsi tangen\" class=\"wp-image-298\" width=\"779\" height=\"451\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Terlihat dari grafik, nilai bayangan fungsi tangen tidak dibatasi, berbeda dengan fungsi sinus dan kosinus. Selain itu, nilainya diulang setiap 180 derajat (\u03c0 radian), sehingga merupakan <strong>fungsi periodik<\/strong> yang periodenya 180\u00ba.<\/p>\n<p> Sebaliknya pada grafik ini terlihat bahwa fungsi tangennya <strong>ganjil<\/strong> , karena unsur-unsur yang berhadapan dengan bayangannya berlawanan, atau dengan kata lain simetris terhadap titik asal (0,0). Misalnya, garis singgung 45\u00b0 bernilai 1 dan -45\u00b0 bernilai -1.<\/p>\n<p> Terakhir, kita juga dapat melihat bahwa fungsi tangen mempunyai <strong>asimtot vertikal<\/strong> . Misalnya, ia sangat dekat dengan garis x=90\u00ba tetapi tidak pernah menyentuhnya, dan hal yang sama terjadi setiap 180 derajat. Artinya limit fungsi pada titik-titik tersebut cenderung tak terhingga. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-funcion-tangente\"><\/span> Sifat-sifat fungsi tangen<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Fungsi tangen mempunyai ciri-ciri sebagai berikut:<\/p>\n<ul>\n<li> Daerah asal fungsi tangen adalah semua bilangan real kecuali titik yang mempunyai asimtot vertikal:<\/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-29b8cf7eff7870df6c68bac95de5bdaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Dom } f = \\mathbb{R} - \\left\\{(2k+1)\\cdot \\frac{\\pi}{2} \\right\\} \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"33\" width=\"308\" style=\"vertical-align: -12px;\"><\/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-e82581257a3efb00f920674c5318bc85_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Dom } f = \\mathbb{R} - \\left\\{\\ldots \\ , \\ -\\frac{\\pi}{2} \\ , \\ \\frac{\\pi}{2} \\ , \\ \\frac{3\\pi}{2} \\ , \\ \\ldots \\right\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"326\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<ul>\n<li> Range atau rentang fungsi tangen semuanya merupakan bilangan real.<\/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-5a954b5c192478c3b7b14428ac8d5cbc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Im } f= \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"74\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> Ini adalah fungsi kontinu dan ganjil dengan periodisitas \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-4338f2dfc213a0dbac8aba420dd33179_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg}(-x) =- \\text{tg }x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"123\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Fungsi trigonometri jenis ini memiliki satu titik potong dengan sumbu y (sumbu Y) di titik (0,0).<\/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-9cf2000c782cfe94be6df5f499cd3e24_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,0)\" 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 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-eab7b9b3afd7706a5a1aea4aca69413c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle (k\\pi ,0) \\qquad k \\in \\mathbb{Z}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"129\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Fungsinya meningkat secara ketat di seluruh domain, sehingga tidak memiliki nilai maksimum maupun minimum.<\/li>\n<\/ul>\n<ul>\n<li> Turunan dari garis singgung adalah:<\/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-ad6c6fdefd907c51ac1e7b85e59260e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\text{tg } x \\ \\longrightarrow \\ f'(x)= 1+\\text{tg}^2 x=\\cfrac{1}{\\text{cos}^2 x} =\\text{sec}^2 x\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"398\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> Akhirnya, integral dari fungsi tangen adalah: <\/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-8c7736fa3869dbff86797b1ff879cc43_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\int \\text{tg } x \\ dx= -\\ln \\lvert \\text{cos }x \\rvert + C\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"218\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"periodo-de-la-funcion-tangente\"><\/span> Periode fungsi tangen<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Berbeda dengan fungsi trigonometri lainnya seperti sinus dan kosinus, fungsi tangen tidak memiliki besaran karena tidak memiliki nilai maksimum maupun minimum. Namun, ini adalah fungsi periodik, artinya nilainya berulang dengan frekuensi seperti yang kita lihat pada grafiknya.<\/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-e5e2cc1f194f1a7fee12fa1156ad3fa6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\text{tg}(wx)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"110\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> <strong>Periode<\/strong> fungsi tangen adalah jarak antara dua titik di mana grafik tersebut berulang, 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-3018883cc7bcf87eaf5d39ca88d719c1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{Periodo}=T=\\cfrac{\\pi}{w}\" title=\"Rendered by QuickLaTeX.com\" height=\"34\" width=\"135\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"teorema-de-la-tangente\"><\/span> teorema tangen<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Meskipun rumus tangen biasanya digunakan pada segitiga siku-siku, ada juga teorema yang dapat diterapkan pada semua jenis segitiga: teorema tangen.<\/p>\n<p> <strong>Teorema tangen<\/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-261e505be252193e417e40524dc7fec7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{a+b}{a-b} = \\cfrac{ \\text{tg}\\left(\\frac{\\alpha+\\beta}{2}\\right)}{\\text{tg}\\left(\\frac{\\alpha-\\beta}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"136\" style=\"vertical-align: -30px;\"><\/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-3e330dd1d596b748ac4f24b84a0a41e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{a+c}{a-c} = \\cfrac{ \\text{tg}\\left(\\frac{\\alpha+\\gamma \\vphantom{\\beta}}{2}\\right)}{\\text{tg}\\left(\\frac{\\alpha-\\gamma\\vphantom{\\beta}}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"136\" style=\"vertical-align: -30px;\"><\/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-267dc10c3b0e77cd0d01c8f1194c48e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\cfrac{b+c}{b-c} = \\cfrac{ \\text{tg}\\left(\\frac{\\beta+\\gamma}{2}\\right)}{\\text{tg}\\left(\\frac{\\beta-\\gamma}{2}\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"69\" width=\"133\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"relaciones-de-la-funcion-tangente-con-otras-razones-trigonometricas\"><\/span> Hubungan fungsi tangen dengan perbandingan trigonometri lainnya<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Di bawah ini Anda memiliki hubungan garis singgung dengan rasio trigonometri trigonometri yang paling penting.<\/p>\n<h3 class=\"wp-block-heading\"> Hubungan dengan payudara<\/h3>\n<ul>\n<li> Garis singgung dan sinus suatu sudut berhubungan sebagai 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-7a86df77c498819d8ea98595aeae1e78_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha = \\pm \\cfrac{\\text{sen }\\alpha }{\\sqrt{1-\\text{sen}^2\\alpha \\vphantom{\\bigl( }}}\" title=\"Rendered by QuickLaTeX.com\" height=\"52\" width=\"165\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> Rasio kosinus<\/h3>\n<ul>\n<li> Demikian pula, garis singgung dan kosinus suatu sudut berhubungan 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-4cd911a6fe6c9f7a24fc1da0f14253cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha = \\pm \\cfrac{\\sqrt{1-\\text{cos}^2\\alpha \\vphantom{\\bigl( }} }{\\text{cos }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"51\" width=\"164\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> Hubungan dengan kosekan<\/h3>\n<ul>\n<li> Walaupun sulit dibuktikan, garis singgungnya dapat diselesaikan sehingga hanya bergantung pada kosekan saja:<\/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-1d5565a2114d02ca91e1f40c48a768e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha = \\pm \\cfrac{1}{\\sqrt{\\text{csc}^2\\alpha -1 \\vphantom{\\bigl( }}}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"163\" style=\"vertical-align: -30px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> Hubungan dengan garis potong<\/h3>\n<ul>\n<li> Garis singgung dan garis potong 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-da24bf5121188e8b3822a780b7ceeda4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha =  \\pm\\sqrt{\\text{sec}^2\\alpha -1\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"161\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"> Hubungan dengan kotangen<\/h3>\n<ul>\n<li> Tangen dan kotangen merupakan kebalikan 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-19dad2de61693ec3497a367b9ca36871_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\text{tg }\\alpha =\\pm \\cfrac{1}{\\text{cot }\\alpha}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"113\" style=\"vertical-align: -12px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Di halaman ini Anda akan menemukan segala sesuatu tentang fungsi tangen: apa itu fungsi, apa rumusnya, cara merepresentasikannya dalam grafik, ciri-ciri fungsi, periodenya, dll. Selain itu, Anda akan dapat melihat contoh fungsi tangen untuk memahami konsepnya sepenuhnya. Ia bahkan menjelaskan teorema tangen dan hubungan fungsi tangen dengan hubungan trigonometri lainnya. Rumus fungsi tangen Fungsi singgung &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/fungsi-tangen\/\"> <span class=\"screen-reader-text\">Fungsi singgung<\/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-361","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 tangen - 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\/id\/fungsi-tangen\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fungsi tangen - Mathority\" \/>\n<meta property=\"og:description\" content=\"Di halaman ini Anda akan menemukan segala sesuatu tentang fungsi tangen: apa itu fungsi, apa rumusnya, cara merepresentasikannya dalam grafik, ciri-ciri fungsi, periodenya, dll. Selain itu, Anda akan dapat melihat contoh fungsi tangen untuk memahami konsepnya sepenuhnya. Ia bahkan menjelaskan teorema tangen dan hubungan fungsi tangen dengan hubungan trigonometri lainnya. Rumus fungsi tangen Fungsi singgung &hellip; Fungsi singgung Selengkapnya &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/fungsi-tangen\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-04T16:06:25+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-la-fonction-tangente.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-tangen\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/fungsi-tangen\/\"},\"author\":{\"name\":\"Tim Mathority\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\"},\"headline\":\"Fungsi singgung\",\"datePublished\":\"2023-07-04T16:06:25+00:00\",\"dateModified\":\"2023-07-04T16:06:25+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/id\/fungsi-tangen\/\"},\"wordCount\":646,\"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-tangen\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/id\/fungsi-tangen\/\",\"url\":\"https:\/\/mathority.org\/id\/fungsi-tangen\/\",\"name\":\"Fungsi tangen - Mathority\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/#website\"},\"datePublished\":\"2023-07-04T16:06:25+00:00\",\"dateModified\":\"2023-07-04T16:06:25+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/id\/fungsi-tangen\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/id\/fungsi-tangen\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/id\/fungsi-tangen\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Fungsi singgung\"}]},{\"@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 tangen - Mathority","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-tangen\/","og_locale":"id_ID","og_type":"article","og_title":"Fungsi tangen - Mathority","og_description":"Di halaman ini Anda akan menemukan segala sesuatu tentang fungsi tangen: apa itu fungsi, apa rumusnya, cara merepresentasikannya dalam grafik, ciri-ciri fungsi, periodenya, dll. 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