{"id":20129,"date":"2022-12-17T17:49:19","date_gmt":"2022-12-17T17:49:19","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=10443"},"modified":"2022-12-17T17:49:19","modified_gmt":"2022-12-17T17:49:19","slug":"properties-of-tangent-function","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/12\/17\/properties-of-tangent-function\/","title":{"rendered":"Properties of Tangent Function"},"content":{"rendered":"\n<p>Next, let us go through some of the important properties of the tangent function. The basic properties of tan x along with its value at specific angles and the trigonometric identities involving tan x are:<\/p>\n\n\n\n<ul>\n<li>The tangent function is an odd function because tan (-x) = -tan x.<\/li>\n\n\n\n<li>Tan x is not defined at values of x where cos x = 0.<\/li>\n\n\n\n<li>The graph of tan x has an infinite number of vertical asymptotes.<\/li>\n\n\n\n<li>The values of the tangent function at specific angles are:\n<ul>\n<li>tan 0 = 0<\/li>\n\n\n\n<li>tan \u03c0\/6 = 1\/\u221a3<\/li>\n\n\n\n<li>tan \u03c0\/4 = 1<\/li>\n\n\n\n<li>tan \u03c0\/3 = \u221a3<\/li>\n\n\n\n<li>tan \u03c0\/2 = Not defined<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>The trigonometric identities involving the tangent function are:\n<ul>\n<li>1 + tan<sup>2<\/sup>x = sec<sup>2<\/sup>x<\/li>\n\n\n\n<li>tan 2x = 2 tan x\/(1 &#8211; tan<sup>2<\/sup>x)<\/li>\n\n\n\n<li>tan (a &#8211; b) = (tan a &#8211; tan b)\/(1 + tan a tan b)<\/li>\n\n\n\n<li>tan (a + b) = (tan a + tan b)\/(1 &#8211; tan a tan b)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>The graph of tan x is symmetric with respect to the origin.<\/li>\n\n\n\n<li>The x-intercepts of tan x are where sin x takes the value zero, that is, when x = n\u03c0, where n is an integer.<\/li>\n<\/ul>\n\n\n\n<p><strong>Important Notes on Tangent Function:<\/strong><\/p>\n\n\n\n<ul>\n<li>The tangent function is expressed as tan x = sin x\/cos x and tan x = Perpendicular\/Base<\/li>\n\n\n\n<li>The slope of a\u00a0straight line\u00a0is the tangent of the angle made by the line with the positive x-axis.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Next, let us go through some of the important properties of the tangent function. The basic properties of tan x along with its value at specific angles and the trigonometric identities involving tan x are: Important Notes on Tangent Function:<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[464],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/20129"}],"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=20129"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/20129\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=20129"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=20129"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=20129"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}