document.write( "Question 1045319: secA+cosA is not equal to 3/2 prove\r
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Algebra.Com's Answer #660719 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! sec A and cos A are reciprocals. \n" ); document.write( "x+(1/x)=3/2. See if this is possible. \n" ); document.write( "common denominator (x^2+1)/x=3/2 \n" ); document.write( "cross multiply and 3x=2x^2+2 \n" ); document.write( "2x^2-3x+2=0 \n" ); document.write( "the discriminant b^2-4ac is 9-16, which is negative, so there are no real roots. \n" ); document.write( "Therefore a number plus its reciprocal cannot equal 3/2. \n" ); document.write( "sec A is a number and cos A is its reciprocal, and they cannot equal 3/2. \n" ); document.write( " \n" ); document.write( " |