document.write( "Question 1190009: Please help me with this question,If SinA=2/3,and A is obtuse, find the exact value of,
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Algebra.Com's Answer #821592 by ikleyn(52797)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            The solution by @MathLover1 is  INCORRECT.\r
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document.write( "(1)  cos(A) = \"-sqrt%281-sin%5E2%28A%29%29\" = \"-sqrt%281+-+%282%2F3%29%5E2%29\" = \"-sqrt%281-4%2F9%29\" = \"-sqrt%285%2F9%29\" = \"-sqrt%285%29%2F3\".\r\n" );
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document.write( "     Since A is obtuse, angle A is in QII, where cosine is negative, so we use sign  \" - \"  at the square root.\r\n" );
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document.write( "     It is first difference from the solution by @MathLover1.\r\n" );
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document.write( "(2)  sin(2A) = 2*sin(A)*cos(A) = \"2%2A%282%2F3%29%2A%28-sqrt%285%29%2F3%29\" = \"-%284%2Asqrt%285%29%29%2F9\".\r\n" );
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document.write( "     Notice sign  \" - \" in my answer.  It is the second difference from the solution by @MathLover1.\r\n" );
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document.write( "(3)  tan(2A) = \"sin%282A%29%2Fcos%282A%29\" = \"sin%282A%29%2F%28cos%5E2%28A%29+-+sin%5E2%28A%29%29\" =  \"+%28%28-4%2Asqrt%285%29%2F9%29%29%2F%28%28-sqrt%285%29%2F3%29%5E2+-+%282%2F3%29%5E2%29\" = \"%28%28-4%2Asqrt%285%29%2F9%29%29%2F%28%285%2F9+-+4%2F9%29%29\" = \"%28%28-4%2Asqrt%285%29%2F9%29%29%2F%28%281%2F9%29%29\" = \"-4%2Asqrt%285%29\".\r\n" );
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document.write( "     Notice sign  \" - \" in my answer.  It is the third difference from the solution by @MathLover1.\r\n" );
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