{"id":1114,"date":"2022-11-05T03:23:00","date_gmt":"2022-11-04T20:23:00","guid":{"rendered":"https:\/\/example.com\/?p=1114"},"modified":"2023-10-06T22:14:40","modified_gmt":"2023-10-06T15:14:40","slug":"apa-itu-trigonometri","status":"publish","type":"post","link":"https:\/\/staging-blog.sirogu.com\/blog\/apa-itu-trigonometri","title":{"rendered":"Mengenal Identitas Trigonometri, Sudut Istimewa &#038; Perbandingannya | Matematika Kelas 10"},"content":{"rendered":"<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Header%20blog%20RG\/Matematika_10.jpg\" alt=\"identitas trigonometri\" style=\"display: block; margin-left: auto; margin-right: auto;\" height=\"410\" width=\"821\"><\/p>\n<blockquote>\n<p style=\"text-align: center;\"><em>Dalam artikel Matematika kelas 10 &nbsp;ini akan membahas secara lengkap tentang identitas trigonometri beserta sudut istimewa hingga perbandingannya. Yuk simak!<\/em><br \/><em>\u2013<\/em><\/p>\n<\/blockquote>\n<p><!--more--><\/p>\n<p style=\"text-align: justify;\">Kalian pernah denger <em>nggak <\/em>kata trigonometri? Trigonometri merupakan sebuah cabang matematika yang berhadapan dengan sudut segitiga, contohnya seperti sinus, cosinus, dan tangen. Kali ini kita akan mempelajari tentang identitas trigonometri dan nilai perbandingannya dari suatu sudut. Supaya bisa mempelajari nilai perbandingan ini, kalian diharuskan untuk memahami konsep sudut ber-relasi. Untuk memahami konsep identitas trigonometri, simak penjelasan tentang pengukuran sudut berikut ini dulu yuk!<\/p>\n<p style=\"text-align: justify;\">&nbsp;<\/p>\n<h2 style=\"font-weight: bold;\"><span style=\"font-size: 20px; color: #000000;\">Pengukuran Sudut<\/span><\/h2>\n<div style=\"text-align: justify;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Pengkuran%20Sudut.png\" alt=\"Pengkuran Sudut\" style=\"display: block; margin-left: auto; margin-right: auto;\"><\/div>\n<p style=\"text-align: justify;\">Berdasarkan gambar di atas dapat kita simpulkan bahwa <strong>pengukuran sudut merupakan salah satu aspek penting dalam pengukuran dan pemetaan kerangka maupun titik-titik detail.<\/strong> Sistem besaran sudut yang dipakai juga berbeda antara satu dengan yang lainnya. Sistem besaran sudut pada pengukuran dan pemetaan dapat terdiri dari:<\/p>\n<ul>\n<li style=\"text-align: justify;\"><strong>Sistem Besaran Sudut Seksagesimal<\/strong><\/li>\n<li style=\"text-align: justify;\"><strong style=\"background-color: transparent;\">Sistem Besaran Sudut Sentisimal<\/strong><\/li>\n<li style=\"text-align: justify;\"><strong style=\"background-color: transparent;\">Sistem Sesaran Sudut Radian<\/strong><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"background-color: transparent;\">Dasar untuk mengukur besaran sudutnya seperti suatu lingkaran yang dibagi menjadi empat bagian, yang dinamakan kuadran yaitu <\/span><strong style=\"background-color: transparent;\">Kudran I, II, III<\/strong><span style=\"background-color: transparent;\"> dan <\/span><strong style=\"background-color: transparent;\">kuadran IV<\/strong><span style=\"background-color: transparent;\">.<\/span><\/p>\n<p style=\"text-align: justify;\">Untuk cara sexagesimal lingkaran dapat dibagi menjadi 360 bagian yang sama dan tiap bagiannya disebut derajat. Maka 1 kuadran dalam lingkaran tersebut = 900.<\/p>\n<p style=\"text-align: center;\"><strong>1<span>\u00b0<\/span>= 60\u2019 1\u2019 = 60\u201d 1<span>\u00b0<\/span> = 3600\u201d<\/strong><\/p>\n<p style=\"text-align: justify; font-weight: bold;\">Baca Juga: <a href=\"\/blog\/persamaan-trigonometri-sederhana\" rel=\"noopener\" target=\"_blank\">Persamaan Trigonometri Sederhana<\/a><\/p>\n<p style=\"text-align: justify; font-weight: bold;\">&nbsp;<\/p>\n<h2 style=\"text-align: justify;\"><span style=\"font-size: 20px; color: #000000;\"><strong style=\"background-color: transparent;\">Identitas Trigonometri<\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><strong>Identitas trigonometri adalah kesamaan yang memuat perbandingan trigonometri dari suatu sudut.<\/strong> Pada identitas trigonometri dikenal istilah sinus, cosinus, dan tangen. Nah, ketiganya ini akan menjadi dasar dalam beberapa rumus matematika.<\/p>\n<p style=\"text-align: justify;\">Bagaimana cara membuktikan identitas trigonometri? Sebuah identitas trigonometri dapat ditunjukkan kebenarannya dengan <strong>tiga cara<\/strong>. Cara pertama, dimulai dengan menyederhanakan ruas kiri menggunakan identitas sebelumnya sampai menjadi bentuk yang sama dengan ruas kanan. Cara kedua, mengubah dan menyederhanakan ruas kanan sampai menjadi bentuk yang sama dengan ruas kiri. Cara ketiga, mengubah baik ruas kiri maupun ruas kanan ke dalam bentuk yang sama.<\/p>\n<p style=\"text-align: justify;\">Ada 3 rumus identitas trigonometri yang perlu kamu ketahui seperti:<\/p>\n<p style=\"text-align: justify;\">&nbsp;<\/p>\n<div style=\"text-align: justify;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Rumus%20Dasar%20Yang%20Merupakan%20Kebalikan.png\" alt=\"Rumus Dasar Yang Merupakan Kebalikan\" style=\"width: 336px;\" loading=\"lazy\"><\/div>\n<div style=\"text-align: justify;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Rumus%20Dasar%20Yang%20Merupakan%20Hubungan%20Perbandingan.png\" alt=\"Rumus Dasar Yang Merupakan Hubungan Perbandingan\" style=\"width: 435px;\" loading=\"lazy\"><\/div>\n<div style=\"text-align: justify;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Rumus%20Dasar%20Yang%20Merupakan%20Hubungan%20Perbandingan-1.png\" alt=\"Rumus Dasar Yang Merupakan Hubungan Perbandingan-1\" style=\"width: 440px;\" loading=\"lazy\"><\/div>\n<p style=\"text-align: justify;\">&nbsp;<\/p>\n<h2 style=\"text-align: justify;\"><span style=\"font-size: 20px; color: #000000;\"><strong style=\"background-color: transparent;\">Perbandingan Trigonometri Pada Segitiga Siku \u2013 Siku<\/strong><\/span><\/h2>\n<div style=\"text-align: justify;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Perbandingan%20Trigonometri%20Pada%20Segitiga%20Siku%20-%20Siku%201.png\" alt=\"Perbandingan Trigonometri Pada Segitiga Siku - Siku 1\" style=\"display: block; margin-left: auto; margin-right: auto; width: 279px;\"><\/div>\n<p style=\"text-align: justify;\">&nbsp;<span style=\"background-color: transparent;\">Untuk definisi <strong>p<\/strong><\/span><strong style=\"background-color: transparent;\">erbandingan trigonometri sudut siku-siku pertama <\/strong>a<span style=\"background-color: transparent;\">dalah:<\/span><\/p>\n<div style=\"text-align: justify;\"><span style=\"background-color: #ffffff;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Perbandingan%20Trigonometri%20Pada%20Sudut%20Siku%20-%20Siku.png\" alt=\"Perbandingan Trigonometri Pada Sudut Siku - Siku\" style=\"display: block; margin-left: auto; margin-right: auto; width: 304px;\"><\/span><\/div>\n<p style=\"text-align: justify;\">&nbsp;<span style=\"background-color: transparent;\">Dan untuk definisi <\/span><strong style=\"background-color: transparent;\">perbandingan trigonometri sudut siku-siku kedua<\/strong><span style=\"background-color: transparent;\">, adalah:<\/span><\/p>\n<div style=\"text-align: justify;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Perbandingan%20Trigonometri%20Pada%20Segitiga%20Siku%20-%20Siku%202.png\" alt=\"Perbandingan Trigonometri Pada Segitiga Siku - Siku 2\" style=\"display: block; margin-left: auto; margin-right: auto;\"><\/div>\n<p style=\"text-align: justify; font-weight: bold;\">Baca Juga: <a href=\"\/blog\/memahami-fungsi-trigonometri-sederhana\" rel=\"noopener\" target=\"_blank\">Memahami Fungsi Trigonometri Sederhana<\/a><\/p>\n<p style=\"text-align: justify;\">&nbsp;<\/p>\n<h2 style=\"text-align: justify;\"><span style=\"font-size: 20px; color: #000000;\"><strong>Nilai Perbandingan Trigonometri Untuk Sudut \u2013 Sudut Istimewa<\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\">Nilai perbandingan memiliki beberapa tabel yang akan memudahkan kamu untuk menemukan hasilnya. Tabel itu sendiri memiliki 2 jenis tabel Istimewa. Ada apa saja? <em>Yuk,<\/em> perhatikan tabel di bawah ini:<\/p>\n<p style=\"text-align: center;\"><strong>Tabel perbandingan trigonometri sudut istimewa pertama<\/strong><\/p>\n<div><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Tabel%20Perbandingan%20Istimewa%201.png\" alt=\"Tabel Perbandingan Istimewa 1\" style=\"display: block; margin-left: auto; margin-right: auto;\"><\/div>\n<p style=\"text-align: center;\"><strong>Tabel perbandingan trigonometri sudut istimewa kedua<\/strong><\/p>\n<div style=\"text-align: justify;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Tabel%20Perbandingan%20Istimewa%202.png\" alt=\"Tabel Perbandingan Istimewa 2\" style=\"display: block; margin-left: auto; margin-right: auto;\"><\/div>\n<p style=\"text-align: justify; font-size: 16px; font-weight: bold;\"><span style=\"color: #000000;\">Baca juga: <a href=\"\/blog\/apa-itu-aturan-sinus-dan-cosinus\" rel=\"noopener\" target=\"_blank\">Apa Itu Aturan Sinus dan Cosinus?<\/a><\/span><\/p>\n<p style=\"text-align: justify; font-size: 16px; font-weight: bold;\">&nbsp;<\/p>\n<h2 style=\"text-align: justify;\"><span style=\"font-size: 20px; color: #000000;\"><strong style=\"background-color: transparent;\">Perbandingan Sudut dan Sudut Relasi Trinogometri I<\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\">Perbandingan sudut dan relasi trigonometri merupakan perluasan dari definisi dasar trigonometri tentang kesebangunan pada segitiga siku-siku yang hanya memenuhi sudut kuadran I dan sudut lancip (0 \u2212 90\u00b0). Untuk contohnya kamu bisa perhatikan gambar di bawah ini ya!<\/p>\n<div style=\"text-align: justify;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Pembagian%20Sudut%20Dalam%20Trigonometri.png\" alt=\"Pembagian Sudut Dalam Trigonometri\" style=\"width: 357px;\"><\/div>\n<p style=\"text-align: justify;\">&nbsp;<\/p>\n<div style=\"text-align: justify;\">&nbsp;<\/div>\n<h2 style=\"text-align: justify;\"><span style=\"font-size: 20px; color: #000000;\"><strong style=\"background-color: transparent;\">Perbandingan Sudut dan Sudut Relasi Trigonometri II<\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\">Untuk setiap \u03b1 lancip, maka (90\u00b0 + \u03b1) dan (180\u00b0 \u2212 \u03b1) akan menghasilkan <strong>sudut kuadran II<\/strong>. Dalam trigonometri, relasi sudut-sudut tersebut dinyatakan sebagai berikut:<\/p>\n<div style=\"text-align: justify;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Perbandingan%20Sudut%20dan%20Sudut%20Relasi%20Trigonometri%20II.png\" alt=\"Perbandingan Sudut dan Sudut Relasi Trigonometri II\" style=\"width: 197px;\"><\/div>\n<h2 style=\"text-align: justify;\">&nbsp;<\/h2>\n<div style=\"text-align: justify;\">&nbsp;<\/div>\n<p style=\"text-align: justify;\">Sekarang kamu sudah paham kan penjelasan materi identitas trigonometri? Nah, kalau kamu masih bingung atau pengen belajar lebih dalam lagi, yuk ke <strong><a href=\"https:\/\/ruangguru.com\/belajar?utm_medium=referral&amp;utm_source=blog&amp;utm_campaign=apa-itu-trigonometri\" target=\"_blank\" rel=\"noopener\">ruangbelajar<\/a><\/strong>. Di sana, kamu bisa belajar dengan cara seru ditemani video-video pembelajaran menarik!<\/p>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.ruangguru.com\/download-for-desktop\" target=\"_blank\" style=\"text-align: center;\" class=\"rg-cta\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/cta\/f51e0d89-905d-477d-b7f8-546567f121d9.jpeg\" width=\"800\" height=\"195\" alt=\"IDN CTA Blog ruangbelajar for desktop Ruangguru\" \/><\/a><\/p>\n<p style=\"text-align: justify;\">&nbsp;<\/p>\n<p style=\"text-align: justify;\"><strong>Sumber referensi:<\/strong><\/p>\n<p style=\"text-align: justify;\"><span>Sinaga, B. Sinambela, P. N J. M. Sitanggang, A. K. dkk. (2017) Matematika. Jakarta: Kemendikbud<\/span><\/p>\n<p style=\"text-align: justify; font-weight: bold;\"><em>Artikel diperbaharui 5 November 2022<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dalam artikel Matematika kelas 10 &nbsp;ini akan membahas secara lengkap tentang identitas trigonometri beserta sudut istimewa hingga perbandingannya. Yuk simak!\u2013<\/p>\n","protected":false},"author":130,"featured_media":1114,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_knawatfibu_url":["https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Header%20blog%20RG\/Matematika_10.jpg"],"_edit_last":["1"],"_edit_lock":["1696605280:1"]},"categories":[467,474],"tags":[52,10,256,37],"class_list":["post-1114","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika","category-matematika-sma-kelas-10","tag-kelas-10","tag-konsep-pelajaran","tag-matematika-x","tag-sma"],"aioseo_notices":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mengenal Identitas Trigonometri, Sudut Istimewa &amp; Perbandingannya | Matematika Kelas 10 - Belajar Gratis di Rumah Kapan Pun! | Blog Ruangguru<\/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:\/\/staging-blog.sirogu.com\/blog\/apa-itu-trigonometri\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mengenal Identitas Trigonometri, Sudut Istimewa &amp; Perbandingannya | Matematika Kelas 10 - Belajar Gratis di Rumah Kapan Pun! | Blog Ruangguru\" \/>\n<meta property=\"og:description\" content=\"Dalam artikel Matematika kelas 10 &nbsp;ini akan membahas secara lengkap tentang identitas trigonometri beserta sudut istimewa hingga perbandingannya. 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