document.write( "Question 1029560: √3*sin(x/2)+cos(x/2)=0\r
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Algebra.Com's Answer #644567 by ikleyn(52798) $\"\"$ $\"About$

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document.write( " =   --->  (divide bith sides by 2)  ---> \r\n" );
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document.write( " = .   (1)\r\n" );
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document.write( "Notice that  =   and   = .\r\n" );
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document.write( "Therefore, you can rewrite (1) as\r\n" );
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document.write( " = .   (2)\r\n" );
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document.write( "Now apply the addition formula for sine  = .\r\n" );
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document.write( "You will get instead of (2)\r\n" );
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document.write( " = .\r\n" );
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document.write( "Then  pi/6 + x/2 = ,  k = 0, +/-1, +/-2, . . . \r\n" );
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document.write( "Hence x = .\r\n" );
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document.write( "To get the given interval for x, take k = 1 and k = 2.\r\n" );
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document.write( "You will have two solutions  x =  =   and  x =  = .\r\n" );
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document.write( "Answer. There are two solutions in the given interval. \r\n" );
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document.write( "        They are  x =   and x = .\r\n" );
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