How to Draw Reference Angle?<\/h3>\n\n\n\n
To draw the reference angle for an angle, identify its terminal side and see by what angle the terminal side is close to the x-axis. The reference angle of 135\u00b0 is drawn below:<\/p>\n\n\n\n Here, 45\u00b0 is the reference angle of 135\u00b0.<\/p>\n\n\n\n Here are the reference angle formulas depending on the\u00a0quadrant\u00a0of the given angle.<\/p>\n\n\n\n If the angle is in\u00a0radians, then we use the same rules as for degrees by replacing 180\u00b0 with \u03c0 and 360\u00b0 with 2\u03c0.<\/p>\n\n\n\n Example:<\/strong> Find the reference angle of 120\u00b0.<\/p>\n\n\n\n Solution:<\/strong> The given angle is, \u03b8 = 120\u00b0. We know that 120\u00b0 lies in quadrant II. Using the above rules, its reference angle is,<\/p>\n\n\n\n 180 – \u03b8 = 180 – 120 = 60\u00b0<\/p>\n\n\n\n Therefore, the reference angle of 120\u00b0 is 60\u00b0.<\/p>\n","protected":false},"excerpt":{"rendered":" In math, a reference angle is generally an acute angle enclosed between the terminal arm and the x-axis. It is always positive and less than or equal to 90 degrees. Let us learn more about the reference angle in this article. Reference Angle Definition The\u00a0reference angle\u00a0is the smallest possible\u00a0angle\u00a0made by the terminal side of the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[383],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7654"}],"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=7654"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7654\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=7654"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=7654"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=7654"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/mdr.foobrdigital.com\/wp-content\/uploads\/2022\/09\/ref.png\")
<\/figure>\n\n\n\nRules for Reference Angles in Each Quadrant<\/h2>\n\n\n\n
Quadrant<\/strong><\/th> Angle, \u03b8<\/strong><\/th> Reference Angle Formula in Degrees<\/strong><\/th> Reference Angle Formula in Radians<\/strong><\/th><\/tr> I<\/td> lies between 0\u00b0 and 90\u00b0<\/td> \u03b8<\/td> \u03b8<\/td><\/tr> II<\/td> lies between 90\u00b0 and 180\u00b0<\/td> 180 – \u03b8<\/td> \u03c0 – \u03b8<\/td><\/tr> III<\/td> lies between 180\u00b0 and 270\u00b0<\/td> \u03b8 – 180<\/td> \u03b8 – \u03c0<\/td><\/tr> IV<\/td> lies between 270\u00b0 and 360\u00b0<\/td> 360 – \u03b8<\/td> 2\u03c0 – \u03b8<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n ![\"\"](\"https:\/\/mdr.foobrdigital.com\/wp-content\/uploads\/2022\/09\/ref2.png\")
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