document.write( "Question 1057489: tanA+cotA=2 but how to find the value of A nd in your answee tan^2+1-2tanA=0 nd next step is tanA = 1 how u can do the step can u explain plzz
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Algebra.Com's Answer #672553 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "tanA+cotA=2 but how to find the value of A nd in your answee tan^2+1-2tanA=0 nd next step is tanA = 1 how u can do the step can u explain plzz
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\n" ); document.write( "\n" ); document.write( "If tan(A) + cot(A) = 1 THEN tan(A) = 1 and cot(A) = 1 (see the theorem below)\r
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\n" ); document.write( "\n" ); document.write( " and, as a consequence, A = 45 degs OR A = 225 degs.\r
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document.write( "Theorem
If   = 2   and  x  is a real number  THEN  x = 1.\r\n" );
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document.write( "Proof\r\n" );
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document.write( "If   = 2   then it is clear that x is positive and you can take .\r\n" );
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document.write( "Then you can rewrite the equality   = 2   in an equivalent form\r\n" );
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document.write( " +  = 0,   or, equivalently,\r\n" );
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document.write( " = 0.\r\n" );
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document.write( "It implies  = ,  or   = 1.\r\n" );
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document.write( "Hence,  = 1 and, therefore, x = 1.\r\n" );
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document.write( "QED.\r\n" );
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