document.write( "Question 1195395: Trig problem has me stumped. Express as a cotangent function the following:
\n" ); document.write( "{y=sqrt((1+(sqrt(2)/2)(cos(xπ/3)+sin(xπ/3)))/(1-(sqrt(2)/2)(cos(xπ/3)+sin(xπ/3))))}\r
\n" ); document.write( "\n" ); document.write( "Almost too complicated to put in a single string. Please let me know if I can send you an image of the problem. Thank you. \n" ); document.write( "

Algebra.Com's Answer #827940 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "let \r\n" );
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document.write( "Substituting:\r\n" );
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document.write( "Under the radical multiply top and bottom by the conjugate\r\n" );
document.write( "of the denominator, as if you were rationalizing the denominator:\r\n" );
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document.write( "The numerator is a perfect square, so we take the square root of\r\n" );
document.write( "the numerator and denominator:\r\n" );
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document.write( "Write the right side as the sum of two fractions:\r\n" );
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document.write( "Next we draw a right triangle with an angle θ, 1 as the hypotenuse, ab\r\n" );
document.write( "as the adjacent side and the radical as the opposite side:\r\n" );
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document.write( "So now the equation is \r\n" );
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document.write( " where \r\n" );
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document.write( "Since you want y as a function of cot(θ), we use an identity for csc(θ).\r\n" );
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document.write( "1 + cot²(θ) = csc²(θ), solve for csc(θ)\r\n" );
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document.write( "And we substitute back for ab:\r\n" );
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document.write( "The final equation is \r\n" );
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document.write( " where  \r\n" );
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document.write( "Edwin

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