document.write( "Question 1012334: Could you please help me with the following problem,
\n" ); document.write( "Use a right triangle to write the following expression as an algebraic expression. Assume that x is positive and in the given inverse trigonometric function
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Algebra.Com's Answer #628225 by ikleyn(52800)\"\" \"About 
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\n" ); document.write( "Use a right triangle to write the following expression as an algebraic expression.
\n" ); document.write( "Assume that x is positive and in the given inverse trigonometric function tan(arccos 2x)
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document.write( "Let \"alpha\" = arccos(2x).\r\n" );
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document.write( "It means that \"cos%28alpha%29\" = 2x and \"alpha\" lies in the 1st or in the 2nd quadrant.\r\n" );
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document.write( "We need to express \"tan%28alpha%29\" via x.\r\n" );
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document.write( "Since \"cos%28alpha%29\" = 2x, \"sin%28alpha%29\" = \"sqrt%281+-%282x%29%5E2%29\" = \"sqrt%281-4x%5E2%29\".\r\n" );
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document.write( "Therefore, \"tan%28alpha%29\" = \"%28sin%28alpha%29%29%2F%28cos%28alpha%29%29\" = \"%28sqrt%281-4x%5E2%29%29%2F%282x%29\".\r\n" );
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document.write( "Answer. \"tan%28alpha%29\" = \"%28sqrt%281-4x%5E2%29%29%2F%282x%29\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "Your formulation is not perfect.
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\n" ); document.write( "\n" ); document.write( "\"Find \"tan%28alpha%29\" if \"arccos%28alpha%29\" = 2x.\"\r
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