{"id":25443,"date":"2021-11-10T14:59:51","date_gmt":"2021-11-10T09:29:51","guid":{"rendered":"https:\/\/python-programs.com\/?p=25443"},"modified":"2021-11-14T15:03:01","modified_gmt":"2021-11-14T09:33:01","slug":"python-cmath-rect-method-with-examples","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-cmath-rect-method-with-examples\/","title":{"rendered":"Python cmath.rect() Method with Examples"},"content":{"rendered":"<p><strong>cmath.rect() Method in Python:<\/strong><\/p>\n<p>The cmath.rect() method converts polar coordinates to the complex number&#8217;s rectangular form. It generates a complex number that includes phase and modulus.<\/p>\n<p>This method equals r * (math.cos(phi) + math.sin(phi)*1j).<\/p>\n<p>The radius r is the vector&#8217;s length, and phi (phase angle) is the angle formed with the real axis.<\/p>\n<p><strong>Syntax:<\/strong><\/p>\n<pre>cmath.rect(r, phi)<\/pre>\n<p><strong>Parameters<\/strong><\/p>\n<p><strong>r:<\/strong> This is Required. The modulus of a complex number is represented by this symbol.<\/p>\n<p><strong>phi:<\/strong> This is Required. It represents a complex number&#8217;s phase.<\/p>\n<p><strong>Return Value:<\/strong><\/p>\n<p>Returns a\u00a0complex value that represents a complex number in its rectangular form.<\/p>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given modulus = 2.135667\r\nGiven phase = 6.1111116<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The rectangular form of the complex number =  (2.104127071172476-0.3656812864341552j)<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given modulus = 5\r\nGiven phase = 2<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The rectangular form of the complex number =  (-2.080734182735712+4.546487134128409j)<\/pre>\n<h2>cmath.rect() Method with Examples in Python<\/h2>\n<ul>\n<li><a href=\"#Using_Built-in_Functions_(Static_Input)\">Using Built-in Functions (Static Input)<\/a><\/li>\n<li><a href=\"#Using_Built-in_Functions_(User_Input)\">Using Built-in Functions (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_Built-in_Functions_(Static_Input)\">Method #1: Using Built-in Functions (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Import cmath module(for complex number operations) using the import keyword.<\/li>\n<li>Give the modulus of a complex number (r) as static input and store it in a variable.<\/li>\n<li>Give the phase of a complex number (phi) as static input and store it in another variable.<\/li>\n<li>Pass the given modulus, phase of a complex number as the arguments to the cmath.rect() method which returns a complex value that represents the complex number in its rectangular form.<\/li>\n<li>Store it in another variable.<\/li>\n<li>Print a complex value that represents the complex number in its rectangular form.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Import cmath module(for complex number operations) using the import keyword.\r\nimport cmath\r\n# Give the modulus of a complex number (r) as static input and store it in a variable.\r\ngvn_moduls_val = 2.135667\r\n# Give the phase of a complex number (phi) as static input and store it\r\n# in another variable.\r\ngvn_phasee_val = 6.1111116\r\n# Pass the given modulus, phase of a complex number as the arguments to the\r\n# cmath.rect() method which returns a complex value that represents the\r\n# complex number in its rectangular form.\r\n# Store it in another variable.\r\nrslt = cmath.rect(gvn_moduls_val, gvn_phasee_val)\r\n# Print a complex value that represents the complex number in its rectangular form.\r\nprint(\"The rectangular form of the complex number = \", rslt)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The rectangular form of the complex number =  (2.104127071172476-0.3656812864341552j)<\/pre>\n<p>Similarly, try for the other examples<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\">import cmath\r\ngvn_moduls_val = 5\r\ngvn_phasee_val = 2\r\nrslt = cmath.rect(gvn_moduls_val, gvn_phasee_val)\r\nprint(\"The rectangular form of the complex number = \", rslt)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The rectangular form of the complex number =  (-2.080734182735712+4.546487134128409j)<\/pre>\n<h3 id=\"Using_Built-in_Functions_(User_Input)\">Method #2: Using Built-in Functions (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Import cmath module(for complex number operations) using the import keyword.<\/li>\n<li>Give the modulus of a complex number (r) as user input using the float(input()) function and store it in a variable.<\/li>\n<li>Give the phase of a complex number (phi) as user input using the float(input()) function and store it in another variable.<\/li>\n<li>Pass the given modulus, phase of a complex number as the arguments to the cmath.rect() method which returns a complex value that represents the complex number in its rectangular form.<\/li>\n<li>Store it in another variable.<\/li>\n<li>Print a complex value that represents the complex number in its rectangular form.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Import cmath module(for complex number operations) using the import keyword.\r\nimport cmath\r\n# Give the modulus of a complex number (r) as user input using the float(input()) function\r\n# and store it in a variable.\r\ngvn_moduls_val = float(input(\"Enter some random number = \"))\r\n# Give the phase of a complex number (phi) as user input using the float(input()) function\r\n# and store it in another variable.\r\ngvn_phasee_val = float(input(\"Enter some random number = \"))\r\n# Pass the given modulus, phase of a complex number as the arguments to the\r\n# cmath.rect() method which returns a complex value that represents the\r\n# complex number in its rectangular form.\r\n# Store it in another variable.\r\nrslt = cmath.rect(gvn_moduls_val, gvn_phasee_val)\r\n# Print a complex value that represents the complex number in its rectangular form.\r\nprint(\"The rectangular form of the complex number = \", rslt)\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 1.56\r\nEnter some random number = 2.34546\r\nThe rectangular form of the complex number = (-1.0911821806705588+1.1148638699801174j)<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>cmath.rect() Method in Python: The cmath.rect() method converts polar coordinates to the complex number&#8217;s rectangular form. It generates a complex number that includes phase and modulus. This method equals r * (math.cos(phi) + math.sin(phi)*1j). The radius r is the vector&#8217;s length, and phi (phase angle) is the angle formed with the real axis. Syntax: cmath.rect(r, &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/python-programs.com\/python-cmath-rect-method-with-examples\/\"> <span class=\"screen-reader-text\">Python cmath.rect() Method with Examples<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true},"categories":[5],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python cmath.rect() Method with Examples - Python Programs<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/python-programs.com\/python-cmath-rect-method-with-examples\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python cmath.rect() Method with Examples - Python Programs\" \/>\n<meta property=\"og:description\" content=\"cmath.rect() Method in Python: The cmath.rect() method converts polar coordinates to the complex number&#8217;s rectangular form. 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