document.write( "Question 1199966: Given: sin(x) - cos(x) = 1/(5^1/2) find the value of tan(x) + cot(x) + cos(2x) \n" ); document.write( "

Algebra.Com's Answer #833978 by ikleyn(52817) $\"\"$ $\"About$

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\n" ); document.write( "Given: sin(x) - cos(x) = 1/(5^1/2) find the value of tan(x) + cot(x) + cos(2x)
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document.write( "The given equality  sin(x) - cos(x) =   implies after squaring\r\n" );
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document.write( "    sin^2(x) - 2sin(x)*cos(x) + cos^2(x) = \r\n" );
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document.write( "    1 - sin(2x) = \r\n" );
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document.write( "    1 -  = sin(2x)\r\n" );
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document.write( "    sin(2x) = .      (1)\r\n" );
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document.write( "The value of  tan(x) + cot(x) + cos(2x) is\r\n" );
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document.write( "       +  + cos(2x) = \r\n" );
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document.write( "    =  + cos(2x) = \r\n" );
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document.write( "    =  + cos(2x).\r\n" );
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document.write( "Substitute here sin(2x) =   and  cos(2x) =  =  = ,  based on (1).  You will get\r\n" );
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document.write( "    tan(x) + cot(x) + cos(2x) =  +  =  +  =  +  = \r\n" );
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document.write( "                              =  =  =  = 3.1.    ANSWER\r\n" );
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document.write( "ANSWER.  If  sin(x) - cos(x) =   then  tan(x) + cot(x) + cos(2x) =  = 3.1.\r\n" );
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