document.write( "Question 135913: find all exact solutions of the equation:
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document.write( " 2sinx+1=0 \n" );
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Algebra.Com's Answer #99609 by nycsharkman(136)![]() ![]() ![]() You can put this solution on YOUR website! Find all exact solutions of the equation: \n" ); document.write( " \n" ); document.write( "2sinx + 1 = 0\r \n" ); document.write( "\n" ); document.write( "A trig equation will have exactly ONE ANSWER for each inverse function you use to solve it; an answer in exact form provides only those restricted range angles, nothing more.\r \n" ); document.write( "\n" ); document.write( "Back to your question.\r \n" ); document.write( "\n" ); document.write( "Treat this like a regular linear equation. Do not allow the sine function to confuse you.\r \n" ); document.write( "\n" ); document.write( "Subtract 1 from both sides.\r \n" ); document.write( "\n" ); document.write( "Doing so, we get this:\r \n" ); document.write( "\n" ); document.write( "2sinx = -1\r \n" ); document.write( "\n" ); document.write( "Divide both sides by 2.\r \n" ); document.write( "\n" ); document.write( "sinx = -(1/2)\r \n" ); document.write( "\n" ); document.write( "In the unit circle, we are given two answers for sinx = -(1/2).\r \n" ); document.write( "\n" ); document.write( "x = 210 degrees AND 330 degrees\r \n" ); document.write( "\n" ); document.write( "Is this clear?\r \n" ); document.write( "\n" ); document.write( "NOTE: Trig will be much more pleasant if you take time out to memorize the unit circle degree and radian measures.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |