document.write( "Question 1183233: solve 7cos(4x)=5 for the smallest three positive solutions.
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Algebra.Com's Answer #813450 by ikleyn(52817) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Your starting equation is \r\n" );
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document.write( "    7cos(4x) = 5.       (1)\r\n" );
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document.write( "As you understand, it is EQUIVALENT to\r\n" );
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document.write( "    cos(4x) = .       (2)\r\n" );
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document.write( "From (2), you have these two series of solutions\r\n" );
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document.write( "    4x =  +  = 0.775193 +                         (3)\r\n" );
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document.write( "and \r\n" );
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document.write( "    4x =  +  =  + ,     (4)\r\n" );
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document.write( "where n = 0, +/-1, +/-2, +/-3, +/-4, . . . is any integer number.\r\n" );
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document.write( "From (3), dividing both its sides by 4, you have\r\n" );
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document.write( "    x = 0.193798 +  = 0.193798 + .\r\n" );
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document.write( "    First four positive values for n= 0, 1, 2 and 3 are (rounded to 4 decimals)  x = 0.1938,  1.7646,  3.3354,  4.9062.    (5)\r\n" );
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document.write( "From (4), dividing both its sides by 4, you have\r\n" );
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document.write( "    x = 1.3770 +  = 1.3770 + .\r\n" );
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document.write( "    First four positive values for n= 0, 1, 2 and 3 are (rounded to 4 decimals)  x = 1.3770,  2.9478,  4.5186,  6.0894.    (6)\r\n" );
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document.write( "Now your last step is to select three smallest numbers of 8 numbers of (5) and (6).\r\n" );
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document.write( "Doing this way, you obtain the  ANSWER  0.1938, 1.3770,  and  1.7646.\r\n" );
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