document.write( "Question 1198657: Evaluate tan(-240 degrees(\r
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document.write( "The correct answer is one of the following. Which one?\r
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document.write( "A) 1/2\r
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document.write( "B) (square root of 2)/2\r
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document.write( "C) - (square root of 3)\r
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document.write( "D) - (square root of2)/2\r
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document.write( "E) (square root of 3)/2 \n" );
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Algebra.Com's Answer #832274 by Theo(13342)![]() ![]() You can put this solution on YOUR website! tan(-240) = - 1.732050808, according to my calculator.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "without a calculator, i would probably do the following:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 360 to -240 to get 120 degrees. \n" ); document.write( "the equivalent angle in the first quadrant is 180 minus 120 = 60 degrees. \n" ); document.write( "tan(60) = (sqrt(3)/2)/(1/2) = sqrt(3). \n" ); document.write( "tangent in the second quadrant is negative, so tan(120) = -sqrt(3). \n" ); document.write( "using my calculator, i find that -sqrt(3) = - 1.732050808. \n" ); document.write( "this is the same i got using my calculator directly on -240 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solution is therefore -sqrt(3) which is equal to selection C.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you graph tan(-240), you will find the same answer, as shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |