document.write( "Question 1083906: Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter the appropriate letter (A, B, C, D, or E) in each blank. \r
\n" ); document.write( "\n" ); document.write( "A. tan(sin−1(x/5))
\n" ); document.write( "B. cos(sin−1(x/5))
\n" ); document.write( "C. (1/2)sin(2sin−1(x/5))
\n" ); document.write( "D. sin(tan−1(x/5))
\n" ); document.write( "E. cos(tan−1(x/5))\r
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\n" ); document.write( "\n" ); document.write( " 1. x/sqrt(25+x^2)\r
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\n" ); document.write( "\n" ); document.write( " 2. (sqrt(25-x^2))/5\r
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\n" ); document.write( "\n" ); document.write( " 3. x/sqrt(25-x^2)\r
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\n" ); document.write( "\n" ); document.write( " 4. 5/sqrt(25+x^2)\r
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\n" ); document.write( "\n" ); document.write( " 5. x/25*(sqrt(25-x^2)) \n" ); document.write( "

Algebra.Com's Answer #697974 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "I will solve only one problem here, problem B).\r
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document.write( "B.   is  .\r\n" );
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document.write( "   1.  Let  = .\r\n" );
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document.write( "       Then  is the angle in Q1 (if x >= 0)  or in QVI (if x < 0).\r\n" );
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document.write( "       In any case,   =  and  is positive.\r\n" );
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document.write( "   2.  Since   = , it implies that \r\n" );
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document.write( "        =  =  =  = .\r\n" );
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document.write( "       So, it matches with #2).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Actually, each of the rest cases is solved in a similar way.\r
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