document.write( "Question 1081707: I need help solving for 2sin(2x-π/6)+1=0 xϵ(-π,π) \n" ); document.write( "

Algebra.Com's Answer #695809 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2sin%282x-pi%2F6%29%2B1=0\"$
\n" ); document.write( " $\"2sin%282x-pi%2F6%29=-1\"$
\n" ); document.write( " $\"sin%282x-pi%2F6%29=-1%2F2\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"2x-pi%2F6=%287%2F6%29pi%2B2pi%2Ak\"$ and $\"2x-pi%2F6=%2811%2F6%29pi%2B2pi%2Ak\"$
\n" ); document.write( " $\"2x=%288%2F6%29pi%2B2pi%2Ak\"$ and $\"2x=%2812%2F6%29pi%2B2pi%2Ak\"$
\n" ); document.write( " $\"x=%282%2F3%29pi%2Bpi%2Ak\"$ and $\"x=pi%2Bpi%2Ak\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x=%282%2F3%29pi\"$
\n" ); document.write( " $\"x=pi\"$
\n" ); document.write( " $\"x=%285%2F3%29pi\"$
\n" ); document.write( " $\"x=2pi\"$
\n" ); document.write( "Adjusting for the range, subtract $\"pi\"$ from each answer.
\n" ); document.write( " $\"x=-%281%2F3%29pi\"$
\n" ); document.write( " $\"x=0\"$
\n" ); document.write( " $\"x=%282%2F3%29pi\"$
\n" ); document.write( " $\"x=pi\"$
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