document.write( "Question 1036596: An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)\r
\n" ); document.write( "\n" ); document.write( "2 sin(3θ) + 1 = 0
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #651281 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "You have not listed limits
\n" ); document.write( "so I am working this out
\n" ); document.write( "for 0<=θ=<2π
\n" ); document.write( "2 sin(3θ) + 1 = 0
\n" ); document.write( "2 sin(3θ) = -1
\n" ); document.write( "sin(3θ) = -1/2
\n" ); document.write( "(3θ) = π/6, 5π/6
\n" ); document.write( "Because you have (3θ) you must
\n" ); document.write( "add 2π to each of your values twice:-
\n" ); document.write( "(3θ) = π/6, 5π/6,13π/6,17π/6
\n" ); document.write( "25π/6 and 29π/6.
\n" ); document.write( "Now you divide all the values by 3.
\n" ); document.write( "π = π/18, 5π/18,13π/18,17π/18
\n" ); document.write( "25π/18 and 29π/18.
\n" ); document.write( "Hope this helps :-)
\n" ); document.write( "
\n" );