{"id":154544,"date":"2022-03-25T23:39:10","date_gmt":"2022-03-25T18:09:10","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/argument-of-complex-numbers-solved-examples\/"},"modified":"2022-12-31T16:00:32","modified_gmt":"2022-12-31T10:30:32","slug":"argument-of-complex-numbers-solved-examples","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/argument-of-complex-numbers\/","title":{"rendered":"Argument of Complex Numbers \u2013 Solved Examples"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/argument-of-complex-numbers\/#Learn_Argument_of_Complex_Numbers_with_Vedantu\" title=\"Learn Argument of Complex Numbers with Vedantu\">Learn Argument of Complex Numbers with Vedantu<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/argument-of-complex-numbers\/#What_is_A_Complex_Number\" title=\"What is A Complex Number?\">What is A Complex Number?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/argument-of-complex-numbers\/#What_is_the_Argument_of_Complex_Numbers\" title=\"What is the Argument of Complex Numbers?\">What is the Argument of Complex Numbers?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/argument-of-complex-numbers\/#How_to_Find_Arguments_of_A_Complex_Number\" title=\"How to Find Arguments of A Complex Number?\">How to Find Arguments of A Complex Number?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/argument-of-complex-numbers\/#Argument_of_Complex_Number_Examples\" title=\"Argument of Complex Number Examples\">Argument of Complex Number Examples<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/argument-of-complex-numbers\/#Solved_Example\" title=\"Solved Example\">Solved Example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/argument-of-complex-numbers\/#Complex_Numbers\" title=\"Complex Numbers\">Complex Numbers<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/argument-of-complex-numbers\/#What_Does_the_Argument_of_Complex_Numbers_Mean\" title=\"What Does the Argument of Complex Numbers Mean?\">What Does the Argument of Complex Numbers Mean?<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Learn_Argument_of_Complex_Numbers_with_Vedantu\"><\/span>Learn Argument of Complex Numbers with Vedantu<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>.com<\/p>\n<p>The complex number a + bi is a number that can be represented in the form a + bi, where a is the real part and bi is the imaginary part. The complex number a + bi can be represented in the form a + bi, where a is the real part and bi is the imaginary part. The complex number a + bi can be represented in the form a + bi, where a is the real part and bi is the imaginary part. The complex number a + bi can be represented in the form a + bi, where a is the real part and bi is the imaginary part.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154543 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/argument-of-complex-numbers-solved-examples.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/argument-of-complex-numbers-solved-examples.jpg?v=1648231746 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/argument-of-complex-numbers-solved-examples-300x212.jpg?v=1648231746 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_A_Complex_Number\"><\/span>What is A Complex Number?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A complex number is a number that can be expressed in the form a+bi, where a and b are real numbers and i is the imaginary unit.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_Argument_of_Complex_Numbers\"><\/span>What is the Argument of Complex Numbers?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The argument of a complex number is the angle, in radians, between the positive real axis and the vector from the origin to the complex number.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"How_to_Find_Arguments_of_A_Complex_Number\"><\/span>How to Find Arguments of A Complex Number?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The arguments of a complex number are the real and imaginary parts of the number. To find the arguments of a complex number, divide the real part by the imaginary part.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Argument_of_Complex_Number_Examples\"><\/span>Argument of Complex Number Examples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The following are examples of how to use the argument of a complex number.<\/p>\n<p>1. Find the argument of 2 + 3i.<\/p>\n<p>The argument of 2 + 3i is 3.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Solved_Example\"><\/span>Solved Example<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Q. The average of 5 numbers is 36. What is the 5th number?<\/p>\n<p>The 5th number is 42.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Complex_Numbers\"><\/span>Complex Numbers<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The complex number system is a mathematical structure that extends the real number system to include a new type of number, called a complex number. A complex number is a number that can be expressed in the form a+bi, where a and b are real numbers and i is the imaginary unit.<\/p>\n<p>The complex number system is important in mathematics and physics because it allows us to model certain complicated physical phenomena. For example, the motion of a particle in a two-dimensional plane can be described by a complex equation. Complex numbers also arise in the study of electrical networks and quantum mechanics.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_Does_the_Argument_of_Complex_Numbers_Mean\"><\/span>What Does the Argument of Complex Numbers Mean?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Complex numbers are a mathematical concept that allow for the representation of numbers that cannot be expressed using real numbers. A complex number is composed of a real number component and an imaginary number component. The real number component is the part that can be expressed in terms of the standard real number system, while the imaginary number component is a number that is expressed in terms of the square root of negative one.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Learn Argument of Complex Numbers with Vedantu .com The complex number a + bi is a number that can be [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Argument of Complex Numbers","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Argument of Complex Numbers topic of Maths in details explained by subject experts on infinitylearn.com","custom_permalink":"maths\/argument-of-complex-numbers\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Argument of Complex Numbers \u2013 Solved Examples - 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