document.write( "Question 1040562: Find sin2x from the given information.\r
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Algebra.Com's Answer #655421 by ikleyn(52921) $\"\"$ $\"About$

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\n" ); document.write( "Find sin2x from the given information.\r
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\n" ); document.write( "\n" ); document.write( "x in Quadrant III
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document.write( "Use this formula of Trigonometry\r\n" );
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document.write( "sin(2x) = 2*sin(x)*cos(x).\r\n" );
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document.write( "You just know that sin(x) =  (it is given).\r\n" );
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document.write( "Based on it, you can calculate\r\n" );
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document.write( "cos(x) = - = - = - = - = - = -.\r\n" );
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document.write( "Notice that the sign before the square root is negative, since the function cosine is negative for x in Q3.\r\n" );
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document.write( "Now you are on the finish line to calculate sin(2x):\r\n" );
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document.write( "sin(2x) = 2*sin(x)*cos(x) =  = .\r\n" );
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document.write( "Answer.  sin(2x) = .\r\n" );
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