document.write( "Question 830983: Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
\n" ); document.write( "7 sin(2x) = 7 cos(x)
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #501083 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
\n" ); document.write( "7 sin(2x) = 7 cos(x)
\n" ); document.write( "---------
\n" ); document.write( "sin(2x) = cos(x)
\n" ); document.write( "2sin(x)cos(x) - cos(x) = 0
\n" ); document.write( "cos(x)[2sin(x)-1] = 0
\n" ); document.write( "cos(x) = 0 or sin(x) = 1/2
\n" ); document.write( "--------
\n" ); document.write( "x = pi/2 or (3/2)pi or x = pi/6 of (5/6)pi
\n" ); document.write( "==================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "==================
\n" ); document.write( "
\n" );