document.write( "Question 1131114: Write an algebraic expression for \"+cot%28sin%5E-1%28x%2F%28x%2B1%29%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "The answer is \"+sqrt%282x%2B1%29+%2F+x+\"\r
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Algebra.Com's Answer #747727 by ikleyn(52937)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You are given that  \"sin%28theta%29\" = \"x%2F%28x%2B1%29\",\r\n" );
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document.write( "and they want you calculate  \"cot%28theta%29\".\r\n" );
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document.write( "First, calculate  \"cos%28theta%29\" = \"sqrt%281-sin%5E2%28theta%29%29\" = \"sqrt%281+-+%28x%2F%28x%2B1%29%29%5E2%29\" = \"sqrt%281-%28x%5E2%2F%28x%5E2%2B2x%2B1%29%29%29\" = \"sqrt%28%28x%5E2+%2B+2x+%2B+1+-+x%5E2%29%2F%28x%2B1%29%5E2%29\" = \"sqrt%282x%2B1%29%2F%28x%2B1%29\".\r\n" );
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document.write( "The last step is to calculate  \"cot%28theta%29\" = \"cos%28theta%29%2Fsin%28theta%29\" = \"%28%28sqrt%282x%2B1%29%2F%28x%2B1%29%29%29%2F%28%28x%2F%28x%2B1%29%29%29\" = \"sqrt%282x%2B1%29%2Fx\" = your answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Done.\r
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\n" ); document.write( "\n" ); document.write( "You can find many similar solved problems in the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Calculating trigonometric functions of angles\r
\n" ); document.write( "\n" ); document.write( "    - Advanced problems on calculating trigonometric functions of angles\r
\n" ); document.write( "\n" ); document.write( "    - Evaluating trigonometric expressions \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic  \"Trigonometry: Solved problems\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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