document.write( "Question 1178162: Solve the equation for exact solutions in the interval 0 ≤ x < 2𝜋.\r
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Algebra.Com's Answer #807369 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "Your starting equation is\r\n" );
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document.write( "    sin(4x) − sqrt(3)*sin(2x) = 0\r\n" );
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document.write( "Substitute (replace) here     sin(4x) = 2sin(2x(*cos(2x).\r\n" );
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document.write( "    2sin(2x)*cos(2x) - sqrt(3)*sin(2x) = 0.\r\n" );
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document.write( "Factor left side\r\n" );
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document.write( "    2sin(2x)*(cos(2x)-sqrt(3)) = 0.\r\n" );
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document.write( "This equation deploys in two equations\r\n" );
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document.write( "    a)  sin(2x) = 0.\r\n" );
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document.write( "        It has the roots  2x = 0, ,  ,    in the interval  [0,)\r\n" );
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document.write( "        that create the roots\r\n" );
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document.write( "        x = 0,  ,  ,    in the interval  [0,).\r\n" );
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document.write( "    b)  cos(2x) = .\r\n" );
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document.write( "        It has the roots  2x = ,  ,  ,    in the interval  [0,)\r\n" );
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document.write( "        that create the roots\r\n" );
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document.write( "        x = ,  ,  ,    in the interval  [0,).\r\n" );
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document.write( "ANSWER.  There are 8 roots  x = 0,  ,  ,  \r\n" );
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document.write( "                                ,  ,  ,    in the interval  [0,).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Find the differences between my solution and the solution by Edwin.\r
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