{"id":26412,"date":"2023-05-18T05:51:47","date_gmt":"2023-05-18T05:51:47","guid":{"rendered":"https:\/\/matob.web.id\/note\/?p=26412"},"modified":"2023-05-18T05:51:47","modified_gmt":"2023-05-18T05:51:47","slug":"berapakah-sin-60-dan-cos-60","status":"publish","type":"post","link":"https:\/\/matob.web.id\/note\/berapakah-sin-60-dan-cos-60\/","title":{"rendered":"Berapakah sin 60 dan cos 60?"},"content":{"rendered":"<p><strong>sin 60 dan cos 60<\/strong>\u00a0adalah salah satu nilai perbandingan trigonometri yang berada di kuadran I. Nilai dari sin 60\u00b0 adalah \u00bd\u221a3 dan nilai cos 60\u00b0 adalah \u00bd. Sebenarnya untuk nilai perbandingan trigonometri untuk sudut di kuadran I, harus hapal di luar kepala, karena sering ditanyakan dalam soal dan juga merupakan dasar dari perbandingan trigonometri.<\/p>\n<h2>Pembahasan<\/h2>\n<p>Untuk menentukan <a href=\"https:\/\/matob.web.id\/note\/berapakah-sin-60-dan-cos-60\/\">berapa nilai sin 60\u00b0 dan cos 60\u00b0<\/a>, kita buat segitiga sama sisi ABC dengan panjang sisi 2x. Pada segitiga sama sisi, besar setiap sudutnya 60\u00b0. Buat garis tinggi dari titik C ke titik tengah AB di D, sehingga AD = DB = x.<\/p>\n<p><u>Dengan teorema pythagoras<\/u>, diperoleh:<\/p>\n<p>CD = \u221a(AC\u00b2 &#8211; AD\u00b2)<\/p>\n<p>CD = \u221a((2x)\u00b2 &#8211; x\u00b2)<\/p>\n<p>CD = \u221a(4x\u00b2 &#8211; x\u00b2)<\/p>\n<p>CD = \u221a(3x\u00b2)<\/p>\n<p>CD = x\u221a3<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-26413\" src=\"https:\/\/matob.web.id\/note\/wp-content\/uploads\/sites\/3\/2021\/09\/berapakah-sin-60-cos-60.jpeg\" alt=\"berapakah sin 60 cos 60\" width=\"231\" height=\"225\" title=\"\"><\/p>\n<p>Perhatikan segitiga ACD siku-siku di D dengan besar sudut A = 60\u00b0<\/p>\n<p>CD = sisi depan sudut 60\u00b0 (de)<\/p>\n<p>AD = sisi samping sudut 60\u00b0 (sa)<\/p>\n<p>AC = sisi miring (mi)<\/p>\n<p>&nbsp;<\/p>\n<p><u>Berdasarkan rumus perbandingan trigonometri maka<\/u><\/p>\n<p>sin A =\u00a0<img decoding=\"async\" src=\"https:\/\/tex.z-dn.net\/?f=%5Cfrac%7Bde%7D%7Bmi%7D\" alt=\"\" title=\"\"><\/p>\n<p>sin 60\u00b0 =\u00a0<img decoding=\"async\" src=\"https:\/\/tex.z-dn.net\/?f=%5Cfrac%7BCD%7D%7BAC%7D\" alt=\"\" title=\"\"><\/p>\n<p>sin 60\u00b0 =\u00a0<img decoding=\"async\" src=\"https:\/\/tex.z-dn.net\/?f=%5Cfrac%7Bx%20%5Csqrt%7B3%7D%7D%7B2x%7D\" alt=\"\" title=\"\"><\/p>\n<p>sin 60\u00b0 =\u00a0<img decoding=\"async\" src=\"https:\/\/tex.z-dn.net\/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D\" alt=\"\" title=\"\"><\/p>\n<p>sin 60\u00b0 =\u00a0<img decoding=\"async\" src=\"https:\/\/tex.z-dn.net\/?f=%5Cfrac%7B1%7D%7B2%7D%5Csqrt%7B3%7D\" alt=\"\" title=\"\"><\/p>\n<p>&nbsp;<\/p>\n<p>cos A =\u00a0<img decoding=\"async\" src=\"https:\/\/tex.z-dn.net\/?f=%5Cfrac%7Bde%7D%7Bmi%7D\" alt=\"\" title=\"\"><\/p>\n<p>cos 60\u00b0 =\u00a0<img decoding=\"async\" src=\"https:\/\/tex.z-dn.net\/?f=%5Cfrac%7BAD%7D%7BAC%7D\" alt=\"\" title=\"\"><\/p>\n<p>cos 60\u00b0 =\u00a0<img decoding=\"async\" src=\"https:\/\/tex.z-dn.net\/?f=%5Cfrac%7Bx%7D%7B2x%7D\" alt=\"\" title=\"\"><\/p>\n<p>cos 60\u00b0 =\u00a0<img decoding=\"async\" src=\"https:\/\/tex.z-dn.net\/?f=%5Cfrac%7B1%7D%7B2%7D\" alt=\"\" title=\"\"><\/p>\n<p>&nbsp;<\/p>\n<p>Jadi nilai dari\u00a0<strong>sin 60\u00b0 = \u00bd\u221a3\u00a0<\/strong>dan nilai\u00a0<strong>cos 60\u00b0 = \u00bd<\/strong><\/p>\n<p>baca juga <a href=\"https:\/\/matob.web.id\/note\/software-statistik-gratis-open-source\/\">10 Software Statistik Gratis dan Open Source Terbaik<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>sin 60 dan cos 60\u00a0adalah salah satu nilai perbandingan trigonometri yang berada di kuadran I. Nilai dari sin 60\u00b0 adalah \u00bd\u221a3 dan nilai cos 60\u00b0 adalah \u00bd. Sebenarnya untuk nilai perbandingan trigonometri untuk sudut di kuadran I, harus hapal di luar kepala, karena sering ditanyakan dalam soal dan juga merupakan dasar dari perbandingan trigonometri. Pembahasan [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":26451,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[125,128],"class_list":["post-26412","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sains-teknologi","tag-matematika","tag-trigonometri"],"_links":{"self":[{"href":"https:\/\/matob.web.id\/note\/wp-json\/wp\/v2\/posts\/26412","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/matob.web.id\/note\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/matob.web.id\/note\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/matob.web.id\/note\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/matob.web.id\/note\/wp-json\/wp\/v2\/comments?post=26412"}],"version-history":[{"count":0,"href":"https:\/\/matob.web.id\/note\/wp-json\/wp\/v2\/posts\/26412\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/matob.web.id\/note\/wp-json\/wp\/v2\/media\/26451"}],"wp:attachment":[{"href":"https:\/\/matob.web.id\/note\/wp-json\/wp\/v2\/media?parent=26412"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/matob.web.id\/note\/wp-json\/wp\/v2\/categories?post=26412"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/matob.web.id\/note\/wp-json\/wp\/v2\/tags?post=26412"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}