document.write( "Question 80151: find all solutions of sin2x+(1/2)=0 \n" ); document.write( "

Algebra.Com's Answer #57566 by tutor_paul(519) $\"\"$ $\"About$

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$\"sin2x%2B%281%2F2%29=0\"$
\n" ); document.write( "Get the the x term alone on one side of the equation:
\n" ); document.write( " $\"sin2x=-1%2F2\"$
\n" ); document.write( "Take the inverse sin of both sides:
\n" ); document.write( " $\"arcsin%28sin2x%29=arcsin%28-1%2F2%29\"$
\n" ); document.write( "Solve for x:
\n" ); document.write( " $\"2x=-30\"$ and $\"2x=210\"$ (recall that sin is negative in Quadrants 3+4)
\n" ); document.write( " $\"x=-15+degrees\"$ and $\"x=105+degrees\"$
\n" ); document.write( "Good Luck,
\n" ); document.write( "tutor_paul@yahoo.com \n" ); document.write( "

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