document.write( "Question 722219: Solve the equation 3sin2x=3cosx \n" ); document.write( "
Algebra.Com's Answer #442682 by DrBeeee(684)\"\" \"About 
You can put this solution on YOUR website!
Toss out the 3's (they factor out) and use the trig identity
\n" ); document.write( "(1) s1n(2x) = 2sin(x)cos(x) to get
\n" ); document.write( "(2) 2sin(x)cos(x) = cos(x) or
\n" ); document.write( "(3) 2sin(x) = 1 or
\n" ); document.write( "(4) sin(x) = 1/2 or
\n" ); document.write( "(5) sin(x) = .5
\n" ); document.write( "Use your calculator to find
\n" ); document.write( "(6) x = sin^(-1)(.5) or
\n" ); document.write( "(7) x = 30 degrees
\n" ); document.write( "Check this with the original problem
\n" ); document.write( "Is (3*sin(2*30) = 3*cos(30))?
\n" ); document.write( "Is (3*sin(60) = 3*\"%28sqrt%283%29%29%2F2\")?
\n" ); document.write( "Is (3*\"%28sqrt%283%29%29%2F2\" = 3*\"%28sqrt%283%29%29%2F2\")? Yes
\n" ); document.write( "Answer: x is 30 degrees.\r
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