{"id":7741,"date":"2022-09-18T04:06:27","date_gmt":"2022-09-18T04:06:27","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=7741"},"modified":"2022-09-18T04:06:27","modified_gmt":"2022-09-18T04:06:27","slug":"graphs-of-trigonometric-functions-2","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/09\/18\/graphs-of-trigonometric-functions-2\/","title":{"rendered":"Graphs of Trigonometric Functions"},"content":{"rendered":"\n<p>The six trigonometric functions are:<\/p>\n\n\n\n<ol><li>Sine<\/li><li>Cosine<\/li><li>Tangent<\/li><li>Cosecant<\/li><li>Secant<\/li><li>Cotangent<\/li><\/ol>\n\n\n\n<p>Trigonometric graphs for these Trigonometry functions can be drawn if you know the following:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Amplitude<\/h3>\n\n\n\n<ul><li>It is the absolute value of any number multiplied with it on the trigonometric function.<\/li><li>The height from the centre line to the peak (or trough) is called amplitude.<\/li><li>You can also measure the height from highest to lowest points and then dividing it by 2.<\/li><li>It basically tells how tall or short the curve is.<\/li><li>Also, notice that the function is in usual orientation or upside down depending on the minus or plus sign of the amplitude value.<\/li><\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Period<\/h3>\n\n\n\n<p>The&nbsp;<strong>Period<\/strong>&nbsp;goes from any point (one peak) to the next matching point.<\/p>\n\n\n\n<p>The graphical representation of period and amplitude of a function is given below.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/09\/Amplitude-and-period-of-a-function.png\" alt=\"\"\/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Phase<\/h3>\n\n\n\n<p>How far the function is shifted from the usual position&nbsp;<strong>horizontally<\/strong>&nbsp;is called a Phase.<\/p>\n\n\n\n<ul><li>Max and min turning points.<\/li><\/ul>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>How to Draw the Graph of a Trigonometric Function?<\/strong><\/p>\n\n\n\n<p>Different methods can be used to draw the graph of a trigonometric function. The detailed explanation of one of the efficient methods is given below.<\/p>\n\n\n\n<p>While drawing a graph of the sine function, convert the given function to the general form as&nbsp;<strong>a sin (bx \u2013 c) + d<\/strong>&nbsp;in order to find the different parameters such as amplitude, phase shift, vertical shift and period.<\/p>\n\n\n\n<p>Where,<\/p>\n\n\n\n<p>|a|&nbsp; = Amplitude<\/p>\n\n\n\n<p>2\u03c0\/|b| = Period<\/p>\n\n\n\n<p>c\/b = Phase shift<\/p>\n\n\n\n<p>d = Vertical shift<\/p>\n\n\n\n<p>Similarly, for the cosine function we can use the formula&nbsp;<strong>a cos (bx \u2013 c) + d<\/strong>.<\/p>\n\n\n\n<p>Thus, the graphs of all the six trigonometric functions are as shown in the below figure.<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/09\/Trigonometry-functions-graphs.png\" alt=\"\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The six trigonometric functions are: Sine Cosine Tangent Cosecant Secant Cotangent Trigonometric graphs for these Trigonometry functions can be drawn if you know the following: Amplitude It is the absolute value of any number multiplied with it on the trigonometric function. The height from the centre line to the peak (or trough) is called amplitude. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[311],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7741"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=7741"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7741\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=7741"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=7741"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=7741"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}