The initial side of an angle<\/strong> is the ray where the measurement of an angle starts.<\/p>\n\n\n\n The terminal side of an angle<\/strong> is the ray where the measurement of an angle ends.<\/p>\n\n\n\n Co-terminal angles<\/strong> are angles which when drawn at standard position share a terminal side<\/strong>. For example, 30\u00b0, -330\u00b0, 390\u00b0 are all coterminal.<\/p>\n\n\n\n The following diagram shows the coterminal angles 30\u00b0, -330\u00b0. Scroll down the page for more examples and solutions.<\/p>\n\n\n\n We can find the coterminal angles of a given angle by using the following formula: Coterminal of \u03b8 = \u03b8 + 360\u00b0 \u00d7 k if \u03b8 is given in degrees.<\/p>\n\n\n\n Coterminal of \u03b8 = \u03b8 + 2\u03c0 \u00d7 k if \u03b8 is given in radians.<\/p>\n\n\n\n Two angles are coterminal if the difference between them is a multiple of 360\u00b0 or 2\u03c0.<\/p>\n\n\n\n Example:<\/strong> Solution:<\/strong> b) \u2013520\u00b0 \u2013 200\u00b0 = \u2013720\u00b0 = \u20132(360\u00b0), which is a multiple of 360\u00b0 c) \u2013600\u00b0 \u2013 (\u201360\u00b0) = \u2013540\u00b0, which is not a multiple of 360\u00b0 In these lessons, we will look at angles at standard position and coterminal angles. An angle is said to be in standard position if it is drawn on the Cartesian plane (x-y plane) on the positive x-axis and turning counter-clockwise (anti-clockwise). The initial side of an angle is the ray where the measurement of an angle starts. The terminal side […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[263],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7635"}],"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=7635"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/7635\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=7635"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=7635"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=7635"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"Coterminal](\"https:\/\/www.onlinemathlearning.com\/image-files\/coterminal-angles.png\" "\\"Coterminal")
<\/figure>\n\n\n\n
Coterminal angles of a given angle \u03b8 may be obtained by either adding or subtracting a multiple of 360\u00b0 or 2\u03c0 radians. <\/p>\n\n\n\n
Determine if the following pairs of angles are coterminal
a) 10\u00b0, 370\u00b0
b) \u2013520\u00b0, 200\u00b0
c) \u2013600\u00b0, \u201360\u00b0<\/p>\n\n\n\n
a) 10\u00b0 \u2013 370\u00b0 = \u2013360\u00b0 = \u20131(360\u00b0), which is a multiple of 360\u00b0
So, 10\u00b0 and 370\u00b0 are coterminal.<\/p>\n\n\n\n
So, \u2013520 and 200\u00b0 are coterminal.<\/p>\n\n\n\n
So, \u2013600\u00b0 and \u201360\u00b0 are not coterminal.<\/p>\n","protected":false},"excerpt":{"rendered":"