{"id":3118,"date":"2026-09-21T08:00:27","date_gmt":"2026-09-21T01:00:27","guid":{"rendered":"https:\/\/example.com\/?p=3118"},"modified":"2026-09-24T08:47:22","modified_gmt":"2026-09-24T01:47:22","slug":"memahami-fungsi-trigonometri-sederhana","status":"publish","type":"post","link":"https:\/\/www.ruangguru.com\/blog\/memahami-fungsi-trigonometri-sederhana","title":{"rendered":"Memahami Grafik Fungsi Trigonometri Sederhana &#038; Contohnya | Matematika Kelas 10"},"content":{"rendered":"<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"width: 820px; margin-left: auto; margin-right: auto; display: block;\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Mengenal%20Fungsi%20Trigonometri.jpg\" alt=\"Mengenal Fungsi Trigonometri\" width=\"820\" \/><\/p>\n<blockquote>\n<p style=\"text-align: center;\"><em>Belajar fungsi trigonometri sederhana, yuk! Ada fungsi sinus, fungsi cosinus, dan fungsi tangen. Simak pembahasan beserta gambar grafiknya di sini!<\/em><\/p>\n<p style=\"text-align: center;\"><em><span style=\"color: #000000;\">&#8212;<\/span><\/em><\/p>\n<\/blockquote>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\">Pada materi sebelumnya, kamu sudah mempelajari tentang <strong><a href=\"\/blog\/apa-itu-trigonometri\" rel=\"noopener\">trigonometri secara umum<\/a><\/strong>. Nah, kali ini, kamu akan mempelajari materi lanjutannya, yaitu fungsi trigonometri. Apa yang dimaksud dengan fungsi trigonometri?<\/p>\n<p style=\"text-align: justify;\">Fungsi trigonometri adalah suatu <strong>fungsi yang grafiknya berulang secara terus menerus dalam periode tertentu<\/strong>. Seperti terlihat pada header di artikel ini, grafik fungsi trigonometri terdiri atas bukit dan lembah yang berulang-ulang secara terus menerus dalam periode tertentu.<\/p>\n<p style=\"text-align: justify;\">Oh iya, gambar grafik yang ada di header itu adalah gambar grafik fungsi sinus, ya! Nanti akan kita bahas lebih lanjut di artikel kok, tenang aja, hehe&#8230;<\/p>\n<p>&nbsp;<\/p>\n<h2><span style=\"font-size: 18pt;\">Unsur-Unsur Grafik Fungsi Trigonometri<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"font-weight: normal;\">Pada fungsi trigonometri terdapat beberapa unsur, yakni <span style=\"font-weight: bold;\">periode, amplitudo, nilai maksimum, <\/span>dan <span style=\"font-weight: bold;\">nilai minimum<\/span>. Kita bahas satu per satu, ya.<\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<h3><span style=\"font-size: 14pt;\">a. Periode<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Periode adalah j<span style=\"font-weight: bold;\">arak antara dua puncak atau dua lembah pada grafik fungsi trigonometri<\/span>. Atau dapat diartikan juga sebagai jarak terjadinya grafik fungsi trigonometri tersebut berulang.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3><span style=\"font-size: 14pt;\">b. Amplitudo<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Amplitudo adalah <span style=\"font-weight: bold;\">setengah dari selisih nilai maksimum dan minimum dari suatu fungsi<\/span>. <span style=\"font-weight: bold;\">Rumus<\/span> amplitudo yakni sebagai berikut:<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" style=\"width: 173px; display: block; margin-left: auto; margin-right: auto;\" title=\"amplitudo\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/amplitudo.png\" alt=\"amplitudo\" width=\"173\" data-constrained=\"true\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<h3><span style=\"font-size: 14pt;\">c. Nilai Maksimum<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Nilai maksimum adalah <span style=\"font-weight: bold;\">nilai tertinggi<\/span> yang bisa dicapai oleh suatu fungsi trigonometri. Pada grafik, nilai maksimum merupakan <span style=\"font-weight: bold;\">titik puncak<\/span> dari <span style=\"font-weight: bold;\">bukit<\/span>.\u00a0<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3><span style=\"font-size: 14pt;\">d. Nilai Minimum<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Nilai minimum adalah <span style=\"font-weight: bold;\">nilai terendah <\/span>yang bisa dicapai oleh suatu fungsi trigonometri. Pada grafik, nilai minimum merupakan <span style=\"font-weight: bold;\">titik terendah <\/span>dari <span style=\"font-weight: bold;\">lembah<\/span>.<\/span><\/p>\n<p style=\"text-align: justify; font-weight: bold;\"><span style=\"color: #000000;\">Baca Juga: <a href=\"\/blog\/persamaan-trigonometri-sederhana\" rel=\"noopener\">Bentuk Persamaan Trigonometri Sederhana dan Contohnya<\/a><\/span><\/p>\n<p>&nbsp;<\/p>\n<h2><span style=\"font-size: 18pt;\">Jenis-Jenis Grafik Fungsi Trigonometri<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Fungsi trigonometri sederhana terdiri dari tiga macam atau jenis, yaitu <span style=\"font-weight: bold;\">fungsi sinus<\/span><span style=\"font-weight: normal;\">,<\/span><span style=\"font-weight: bold;\"> fungsi cosinus<\/span><span style=\"font-weight: normal;\">,<\/span> <span style=\"font-weight: normal;\">dan <\/span><span style=\"font-weight: bold;\">fungsi tangen<\/span>. Nah, masing-masing fungsi tersebut dapat dijelaskan menggunakan <span style=\"font-weight: bold;\">grafik baku fungsi trigonometri<\/span>. Kita bahas satu per satu, ya!<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3><span style=\"font-size: 14pt;\">a. Grafik Fungsi Sinus (y = sin x)<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Nilai dari sinus adalah <span style=\"font-weight: bold;\">-1 \u2264 sin(x) \u2264 1<\/span>. Untuk gambar grafik fungsi sinus dapat kamu lihat pada infografik berikut.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" style=\"width: 600px; margin-left: auto; margin-right: auto; display: block;\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/grafik%20fungsi%20sinus%20y%20=%20sin%20x.jpg\" alt=\"grafik fungsi sinus y = sin x\" width=\"600\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Pada grafik fungsi sinus berlaku:<\/span><\/p>\n<ul>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">Nilai maksimum = 1<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">Nilai minimum = -1<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">Amplitudo = 1<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">Periode = 360\u00b0<\/span><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3><span style=\"font-size: 14pt;\">b. Grafik Fungsi Cosinus (y = cos x)<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Nilai dari cosinus adalah <span style=\"font-weight: bold;\">-1 \u2264 cos(x) \u2264 1<\/span>. Untuk gambar grafik fungsi cosinus dapat kamu lihat pada infografik berikut.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" style=\"width: 600px; margin-left: auto; margin-right: auto; display: block;\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/grafik%20fungsi%20cosinus%20y%20=%20cos%20x.jpg\" alt=\"grafik fungsi cosinus y = cos x\" width=\"600\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Pada grafik fungsi cosinus berlaku:<\/span><\/p>\n<ul>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">Nilai maksimum = 1<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">Nilai minimum = -1<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">Amplitudo = 1<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">Periode = 360\u00b0<\/span><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify; font-weight: bold;\"><span style=\"color: #000000;\">Baca Juga: <a href=\"\/blog\/fungsi-komposisi\" rel=\"noopener\">Belajar Fungsi Komposisi &amp; Contohnya, Lengkap!<\/a><\/span><\/p>\n<p>&nbsp;<\/p>\n<h3><span style=\"font-size: 14pt;\">c. Grafik Fungsi Tangen (y = tan x)<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Grafik tangen <span style=\"font-weight: bold;\">tidak mempunyai nilai maksimum<\/span>. Untuk gambar grafik fungsi tangen dapat kamu lihat pada infografik berikut.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" style=\"width: 600px; margin-left: auto; margin-right: auto; display: block;\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/grafik%20fungsi%20tangen%20y%20=%20tan%20x.jpg\" alt=\"grafik fungsi tangen y = tan x\" width=\"600\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Pada grafik fungsi tangen berlaku:<\/span><\/p>\n<ul>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">Nilai maksimum = Tidak ada<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">Nilai minimum = Tidak ada<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">Amplitudo = Tidak ada<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"color: #000000;\">Periode = 180\u00b0<\/span><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Selain itu, terdapat pula <span style=\"font-weight: bold;\">grafik tidak baku<\/span> pada fungsi trigonometri yang <span style=\"font-weight: bold;\">lebih kompleks<\/span>. Grafik tidak baku ini<span style=\"font-weight: bold;\"> digambar berdasarkan fungsi<\/span> seperti tertera dalam tabel berikut.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><img decoding=\"async\" style=\"width: 600px; margin-left: auto; margin-right: auto; display: block;\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/tabel%20fungsi%20trigonometri%20tidak%20baku.png\" alt=\"tabel fungsi trigonometri tidak baku\" width=\"600\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"background-color: transparent; text-align: justify;\">Untuk contoh gambar grafik fungsi trigonometri tidak baku akan dibahas pada materi selanjutnya, ya. <em>Stay tuned<\/em> terus di ruangbaca, okeyy!<\/span><\/span><\/p>\n<p style=\"text-align: justify; font-weight: bold;\"><span style=\"color: #000000;\"><span style=\"background-color: transparent; text-align: justify;\">Baca Juga: <a href=\"\/blog\/matematika-kelas-10-membuat-fungsi-kuadrat-dari-grafik\" rel=\"noopener\">Cara Menyusun Persamaan dari Grafik Fungsi Kuadrat<\/a><\/span><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><span style=\"background-color: transparent; text-align: justify;\">Nah, sekarang kita coba kerjakan <\/span><span style=\"font-weight: normal;\">contoh soal<\/span><span style=\"background-color: transparent; text-align: justify;\"> di bawah ini aja, ya!<\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<h2><span style=\"font-size: 18pt;\">Contoh Soal Fungsi Trigonometri<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">1. Tentukan nilai maksimum dan nilai minimum dari fungsi trigonometri di bawah in!<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">a. f(x) = 2 sin 2x + 5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">b. f(x) = -3 cos (3(x+90\u00b0)) &#8211; 8<\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Penyelesaian:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">a. f(x) = 2 sin 2x + 5 \u2192 a = 2 , c = 5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Nilai maksimum = |a| + c = |2| + 5 = 7<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Nilai minimum = -|a| + c = -|2| + 5 = 3<\/span><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">b. f(x) = -3 cos (3(x + 90\u00b0)) &#8211; 8 <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">f(x) = &#8211; 3 cos (3x + 270\u00b0) &#8211; 8 \u2192 a = -3 , c = -8<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Nilai maksimum = |a| + c = |-3| + (-8) = 3 &#8211; 8 = -5<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Nilai minimum = -|a| + c = -|-3| + (-8) = -3 &#8211; 8 = -11<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #000000;\"><em style=\"background-color: transparent;\">&#8212;<\/em><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Beg<span style=\"background-color: transparent;\">itulah materi kita kali ini tentang fungsi trigonometri sederhana, yang terdiri atas fungsi sinus, fungsi cosinus, dan fungsi tangen. Semoga kamu paham ya, dengan penjelasan di atas. <em>Eits<\/em>, kamu juga bisa mempelajari lagi materi ini melalui <\/span><a href=\"https:\/\/www.ruangguru.com\/ruangbelajar\" target=\"_blank\" rel=\"noopener\"><strong style=\"background-color: transparent;\">ruangbelajar<\/strong><\/a><span style=\"background-color: transparent;\">, lho! Yuk, <em>download<\/em> sekarang!<\/span><\/span><\/p>\n<p><a href=\"https:\/\/bayar.ruangguru.com\/\"><img decoding=\"async\" class=\"aligncenter size-medium\" src=\"https:\/\/cdn-web-2.ruangguru.com\/landing-pages\/assets\/e3260f88-1749-4d3b-8973-be3aae07a94c.jpg\" alt=\"CTA Ruangguru\" \/><\/a><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Referensi:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">Sinaga, B.,\u00a0dkk. (2017). <em>Matematika<\/em>. Jakarta: Kemendikbud.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Belajar fungsi trigonometri sederhana, yuk! Ada fungsi sinus, fungsi cosinus, dan fungsi tangen. Simak pembahasan beserta gambar grafiknya di sini! &#8212; &nbsp; Pada materi sebelumnya, kamu sudah mempelajari tentang trigonometri secara umum. Nah, kali ini, kamu akan mempelajari materi lanjutannya, yaitu fungsi trigonometri. Apa yang dimaksud dengan fungsi trigonometri? Fungsi trigonometri adalah suatu fungsi yang [&hellip;]<\/p>\n","protected":false},"author":10,"featured_media":3118,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_knawatfibu_url":["https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Mengenal%20Fungsi%20Trigonometri.jpg"],"_edit_last":["1"],"_edit_lock":["1790214301:1"],"_wp_old_date":["2022-04-22","2025-10-28"],"_yoast_wpseo_primary_category":["467"],"_yoast_wpseo_title":["Memahami Grafik Fungsi Trigonometri Sederhana dan Contohnya"],"_yoast_wpseo_metadesc":["Belajar fungsi trigonometri sederhana, yuk! Ada fungsi sinus, cosinus, dan tangen. Simak pembahasan beserta gambar grafiknya di artikel ini!"],"_yoast_wpseo_content_score":["90"],"_yoast_wpseo_estimated-reading-time-minutes":["5"]},"categories":[467,474],"tags":[52,10,37],"class_list":["post-3118","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-sma"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Memahami Grafik Fungsi Trigonometri Sederhana dan Contohnya<\/title>\n<meta name=\"description\" content=\"Belajar fungsi trigonometri sederhana, yuk! Ada fungsi sinus, cosinus, dan tangen. 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