document.write( "Question 1105276: Solve $\"sin%282x%29-cos%28x%29=0\"$ given that 0 ≤ x < 2π \n" ); document.write( "

Algebra.Com's Answer #720092 by rothauserc(4718) $\"\"$ $\"About$

You can put this solution on YOUR website!
sin(2x) - cos(x) = 0
\n" ); document.write( ":
\n" ); document.write( "sin(2x) = cos(x)
\n" ); document.write( ":
\n" ); document.write( "2sin(x)cos(x) = cos(x)
\n" ); document.write( ":
\n" ); document.write( "2sin(x) = 1
\n" ); document.write( ":
\n" ); document.write( "sin(x) = 1/2
\n" ); document.write( ":
\n" ); document.write( "sin^-1 (1/2) = 30 degrees
\n" ); document.write( ":
\n" ); document.write( "x = 30 degrees, 150 degrees
\n" ); document.write( ":
\n" ); document.write( "Note that the sin function is positive in the first and second quadrants
\n" ); document.write( ":
\n" ); document.write( " \n" ); document.write( "

\n" );