{"id":720,"date":"2018-07-01T01:42:46","date_gmt":"2018-07-01T01:42:46","guid":{"rendered":"http:\/\/tinspireapps.com\/blog\/?p=720"},"modified":"2018-07-05T02:08:54","modified_gmt":"2018-07-05T02:08:54","slug":"find-shifts-stretches-period-and-phase-shift-of-sine-or-cosine-function-using-the-tinspire-cx","status":"publish","type":"post","link":"https:\/\/tinspireapps.com\/blog\/find-shifts-stretches-period-and-phase-shift-of-sine-or-cosine-function-using-the-tinspire-cx\/","title":{"rendered":"\u25b7Find Shifts, Stretches, Period and Phase Shift of Sine or Cosine Function using the TiNSpire CX"},"content":{"rendered":"<p>Need to analyze a trig function involving sine or cosine? That really means finding the vertical shift D, the vertical stretch aka Amplitude A, the horizontal stretch and the horizontal shift. As a side effect you will then be able to figure out the periodicity of that trig function.<\/p>\n<p>Once you have your handy TiNspire CX available, launch the <a href=\"https:\/\/www.tinspireapps.com\/?a=TME\">Trigonometry Made Easy<\/a> app and\u00a0 select menu option 6 1 : Find Amplitude, Phase, Shifts given Function as shown below:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-721\" src=\"http:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/07\/06-30-2018-Image012-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/07\/06-30-2018-Image012-300x225.jpg 300w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/07\/06-30-2018-Image012-150x113.jpg 150w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/07\/06-30-2018-Image012.jpg 620w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><\/p>\n<p>Now, all you is enter the given trig function and immediately all shifts and stretches show below. That simple.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-722\" src=\"http:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/07\/06-30-2018-Image013-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/07\/06-30-2018-Image013-300x225.jpg 300w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/07\/06-30-2018-Image013-150x113.jpg 150w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/07\/06-30-2018-Image013.jpg 620w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><\/p>\n<p>Here is another example involving a cosine function :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-723\" src=\"http:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/07\/06-30-2018-Image014-300x225.jpg\" alt=\"\" width=\"300\" height=\"225\" srcset=\"https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/07\/06-30-2018-Image014-300x225.jpg 300w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/07\/06-30-2018-Image014-150x113.jpg 150w, https:\/\/tinspireapps.com\/blog\/wp-content\/uploads\/2018\/07\/06-30-2018-Image014.jpg 620w\" sizes=\"auto, (max-width: 300px) 85vw, 300px\" \/><\/p>\n<p>This latter function is neither shifted vertically nor horizontally.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Need to analyze a trig function involving sine or cosine? That really means finding the vertical shift D, the vertical stretch aka Amplitude A, the horizontal stretch and the horizontal shift. As a side effect you will then be able to figure out the periodicity of that trig function. Once you have your handy TiNspire &hellip; <a href=\"https:\/\/tinspireapps.com\/blog\/find-shifts-stretches-period-and-phase-shift-of-sine-or-cosine-function-using-the-tinspire-cx\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;\u25b7Find Shifts, Stretches, Period and Phase Shift of Sine or Cosine Function using the TiNSpire CX&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[237,13],"tags":[241,240,238,239,25,29],"class_list":["post-720","post","type-post","status-publish","format-standard","hentry","category-triganalyzer","category-trigonometry","tag-function-analyzer","tag-phase","tag-shifts","tag-stretch","tag-tinspire","tag-trigonometry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u25b7Find Shifts, Stretches, Period and Phase Shift of Sine or Cosine Function using the TiNSpire CX - www.TiNspireApps.com - Stepwise Math &amp; Science Solutions<\/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:\/\/tinspireapps.com\/blog\/find-shifts-stretches-period-and-phase-shift-of-sine-or-cosine-function-using-the-tinspire-cx\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7Find Shifts, Stretches, Period and Phase Shift of Sine or Cosine Function using the TiNSpire CX - www.TiNspireApps.com - Stepwise Math &amp; Science Solutions\" \/>\n<meta property=\"og:description\" content=\"Need to analyze a trig function involving sine or cosine? That really means finding the vertical shift D, the vertical stretch aka Amplitude A, the horizontal stretch and the horizontal shift. As a side effect you will then be able to figure out the periodicity of that trig function. 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