document.write( "Question 1017536: Use your graphing calculator to find all radian solutions in the interval 0 ≤ x < 2π for the following equation. Round your answers to four decimal places. (Enter your answers as a comma-separated list.)
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document.write( "sex x+ 1 = cot x\r
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document.write( "Note: I turned everything into sines and cosines then found common denominators, but was unable to understand what must be done next. \n" );
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Algebra.Com's Answer #633826 by Theo(13342)![]() ![]() You can put this solution on YOUR website! they were asking for a graphical solution which means all you had to do was graph the equations and find the intersections on the graph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if i understand the problem correctly, you would do the following:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "graph the following equations on the same graph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = sec(x) + 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = cot(x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then find the intersections between the intervals of x = 0 to x = 2pi.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i used the desmos online calculator and got the following:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the calculator is great but it only rounds to 3 decimal places.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it told me the intersections were at (.443,2.107) and (2.193,-.717).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i then went to the ti-84 plus calculator that i have and was able to graph and use the trace function to find the same answers.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "rounded to 4 decimal places, the intersections are (.4431,2.1069) and (2.1926,-.7167).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the desmos calculator handles sec and cot.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the ti-84 doesn't.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "it does handle cos and tan, so you need to enter sec(x) as 1/cot(x) and cot(x) as 1/tan(x).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "then it works just fine.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |