document.write( "Question 38875This question is from textbook
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\n" ); document.write( "problem: Cos2@+6Sin^2@=4
\n" ); document.write( "So far I have:
\n" ); document.write( "1-2Sin@+6Sn^2@=4
\n" ); document.write( "-2Sin@+6Sin^2@=3
\n" ); document.write( "4Sin^2@/4=3/4 (divide by 4)\r
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\n" ); document.write( "\n" ); document.write( "Sin^2@=3/4
\n" ); document.write( "Sin=+/-radical 3/4
\n" ); document.write( "= radical 3 over -2
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\n" ); document.write( "\n" ); document.write( "How is +/-radical 3/4
\n" ); document.write( "changed to radical 3 over -2\r
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Algebra.Com's Answer #24345 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
Sin^2@=3/4\r\n" );
document.write( "Sin=+/-radical 3/4\r\n" );
document.write( "= radical 3 over -2\r\n" );
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document.write( "How is +/-radical 3/4\r\n" );
document.write( "changed to radical 3 over -2 \r\n" );
document.write( "Thank You\r\n" );
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document.write( "You are confused about the symbol ±.  It means\r\n" );
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document.write( "\"positive or negative\" \r\n" );
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document.write( "It's written ± \r\n" );
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document.write( "(hold down alt while typing 0177 on the keypad with Num Lock on.) \r\n" );
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document.write( "±5 means either one of the two numbers +5 or -5.\r\n" );
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document.write( "±23.684 means either one of thes two numbers +23.684 or -23.684\r\n" );
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document.write( "It's not +/-, but sometimes when people don't know the alt symbols\r\n" );
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document.write( "they write +/- for ±\r\n" );
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document.write( "You mistakenly took the forward slash / to mean \"divided by\".  It\r\n" );
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document.write( "doesn't mean \"positive divided by negative\"\r\n" );
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document.write( "Let's go thru the problem:\r\n" );
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document.write( "cos(2x) + 6·sin²(x) = 4\r\n" );
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document.write( "1 - 2·sin²x + 6·sin²(x) = 4\r\n" );
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document.write( "4·sin²(x) = 3\r\n" );
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document.write( "sin²(x) = 3/4\r\n" );
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document.write( "Right here is where you take square roots of \r\n" );
document.write( "both sides.  Every number has two square roots.\r\n" );
document.write( "So 3/4 has two square roots  +Ö3/2 and -Ö3/2.\r\n" );
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document.write( "sin(x) = ±Ö3/2\r\n" );
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document.write( "That represents two equations:\r\n" );
document.write( "           _                     _\r\n" );
document.write( "sin(x) = +Ö3/2   and  sin(x) = -Ö3/2\r\n" );
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document.write( "so your answer will be all angles with \r\n" );
document.write( "reference angle 60° or p/3 radians taken\r\n" );
document.write( "in every quadrant.\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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