{"id":34,"date":"2013-05-22T18:55:28","date_gmt":"2013-05-22T18:55:28","guid":{"rendered":"http:\/\/homepages.se.edu\/cmoretti\/?page_id=34"},"modified":"2019-10-28T15:42:42","modified_gmt":"2019-10-28T15:42:42","slug":"mathematica-notebooks-trigonometry","status":"publish","type":"page","link":"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-trigonometry\/","title":{"rendered":"Dr. Moretti&#8217;s Mathematica Notebooks &#8211; Trigonometry"},"content":{"rendered":"<h1 style=\"text-align: center\">Mathematica Notebooks for Trigonometry<\/h1>\n<p>Important Note:\u00a0The links for the notebooks open a new window or tab with a Google Drive page &#8211; the current settings for our homepages won&#8217;t allow me to host mathematica notebooks locally.<\/p>\n<h2>Trigonometric Waves<\/h2>\n<p>This notebook lets you play with the amplitude, frequency, phase angle, and vertical shift of a sinusoidal wave and see what that does to its equation.<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/trigwaves.jpg\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter  wp-image-63\" alt=\"trigwaves\" src=\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/trigwaves.jpg\" width=\"415\" height=\"472\" srcset=\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/trigwaves.jpg 830w, https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/trigwaves-264x300.jpg 264w, https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/trigwaves-768x873.jpg 768w\" sizes=\"(max-width: 415px) 100vw, 415px\" \/><\/a><\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/drive.google.com\/folderview?id=0BxSwUt0i0mImS2xHbUZDcXhBbWc&amp;usp=sharing\" target=\"_blank\" rel=\"noopener noreferrer\">Download this or other of my trigonometry notebooks from Google Drive<\/a><\/p>\n<h2>Exact values for Sine and Cosine<\/h2>\n<p>This notebook lets you see the exact values for sine and cosine at an integer number of degrees. \u00a0The slider lets you find the values for angles whose measure is a multiple of 3; opening the slider control and entering any integer will let you see the values for other angles (like sin(1\u00b0)). \u00a0A version of this can be found in the <a href=\"http:\/\/demonstrations.wolfram.com\/ExactValuesForSineAndCosine\/\" target=\"_blank\" rel=\"noopener noreferrer\">Wolfram Demonstrations Project<\/a>.<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/exactvalues.jpg\"><img decoding=\"async\" class=\"aligncenter  wp-image-62\" style=\"border: 1px solid black\" alt=\"exactvalues\" src=\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/exactvalues-1024x440.jpg\" width=\"512\" height=\"220\" \/><\/a><\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/drive.google.com\/folderview?id=0BxSwUt0i0mImS2xHbUZDcXhBbWc&amp;usp=sharing\" target=\"_blank\" rel=\"noopener noreferrer\">Download this or other of my trigonometry notebooks from Google Drive<\/a><\/p>\n<h2>Polar Graphing<\/h2>\n<p>This notebook lets you graph an equation in polar coordinates and watch how the graph is sketched out as the central angle <em>t<\/em> goes from a starting value to an end value. \u00a0The current angle is represented by a green line which is dark for positive radius values and light for negative ones. You can see the corresponding Cartesian graph with the polar graph side by side to see how loops and other structures are formed.<\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/polargraph.jpg\"><img decoding=\"async\" class=\"aligncenter  wp-image-64\" alt=\"polargraph\" src=\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/polargraph-703x1024.jpg\" width=\"351\" height=\"512\" \/><\/a><\/p>\n<p style=\"text-align: center\"><a href=\"https:\/\/drive.google.com\/folderview?id=0BxSwUt0i0mImS2xHbUZDcXhBbWc&amp;usp=sharing\" target=\"_blank\" rel=\"noopener noreferrer\">Download this or other of my trigonometry notebooks from Google Drive<\/a><\/p>\n<p><a title=\"Mathematica Notebook Library\" href=\"http:\/\/homepages.se.edu\/cmoretti\/main\/mathematicalibrarymain\/\">Back to my Mathematica Library<\/a><\/p>\n<p><a title=\"Dr. Christopher Moretti\u2019s Homepage\" href=\"http:\/\/homepages.se.edu\/cmoretti\/\">Back to my homepage<\/a><\/p>\n<p><a title=\"Southeastern main page\" href=\"http:\/\/www.se.edu\">Back to the Southeastern Main Page<\/a>\t\t<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mathematica Notebooks for Trigonometry Important Note:\u00a0The links for the notebooks open a new window or tab with a Google Drive page &#8211; the current settings for our homepages won&#8217;t allow [&hellip;]<\/p>\n","protected":false},"author":24,"featured_media":0,"parent":19,"menu_order":0,"comment_status":"open","ping_status":"open","template":"page-templates\/page-with-sidebar.php","meta":{"footnotes":""},"class_list":["post-34","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Dr. Moretti&#039;s Mathematica Notebooks - Trigonometry -<\/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:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-trigonometry\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Dr. Moretti&#039;s Mathematica Notebooks - Trigonometry -\" \/>\n<meta property=\"og:description\" content=\"Mathematica Notebooks for Trigonometry Important Note:\u00a0The links for the notebooks open a new window or tab with a Google Drive page &#8211; the current settings for our homepages won&#8217;t allow [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-trigonometry\/\" \/>\n<meta property=\"article:modified_time\" content=\"2019-10-28T15:42:42+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/trigwaves.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-trigonometry\/\",\"url\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-trigonometry\/\",\"name\":\"Dr. Moretti's Mathematica Notebooks - Trigonometry -\",\"isPartOf\":{\"@id\":\"https:\/\/www.se.edu\/cmoretti\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-trigonometry\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-trigonometry\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/trigwaves.jpg\",\"datePublished\":\"2013-05-22T18:55:28+00:00\",\"dateModified\":\"2019-10-28T15:42:42+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-trigonometry\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-trigonometry\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-trigonometry\/#primaryimage\",\"url\":\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/trigwaves.jpg\",\"contentUrl\":\"https:\/\/www.se.edu\/cmoretti\/wp-content\/uploads\/sites\/81\/2013\/05\/trigwaves.jpg\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/mathematica-notebooks-trigonometry\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.se.edu\/cmoretti\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Dr. Moretti&#8217;s Mathematica Notebook Library\",\"item\":\"https:\/\/www.se.edu\/cmoretti\/main\/mathematicalibrarymain\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Dr. Moretti&#8217;s Mathematica Notebooks &#8211; 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