document.write( "Question 1178822: solve cos x/3 - sin x/3 = 0 over the interval [0, 2pi) \n" ); document.write( "
Algebra.Com's Answer #808234 by ikleyn(52797)\"\" \"About 
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document.write( "If   cos(x/3) - sin(x/3) = 0,  then\r\n" );
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document.write( "    cos(x/3) = sin(x/3),\r\n" );
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document.write( "which implies\r\n" );
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document.write( "    tan(x/3) = 1.\r\n" );
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document.write( "Hence,  x/3 =  \"pi%2F4+%2B+k%2Api\"  and  x = \"3pi%2F4+%2B+3k%2Api\".\r\n" );
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document.write( "In the interval  [0,2pi) the solution is unique :  x = \"3pi%2F4\".    ANSWER\r\n" );
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