document.write( "Question 174834This question is from textbook Amsco's Preparing for the Regents Examination Mathematics B
\n" ); document.write( ": (17) If 3sin^2(theta) - 4sin(theta) + 1 = 0, find all values of (theta) to the nearest minute in the interval 0 < x < 360. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "show work, thank you so much, i appreciate it alot
\n" ); document.write( "

Algebra.Com's Answer #129940 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"a\" = sin theta
\n" ); document.write( "\"3a%5E2+-+4a+%2B+1+=+0\"
\n" ); document.write( "\"a+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"a+=+%28-%28-4%29+%2B-+sqrt%28+%28-4%29%5E2-4%2A3%2A1+%29%29%2F%282%2A3%29+\"
\n" ); document.write( "\"a+=+%284+%2B-+sqrt%2816+-+12+%29%29%2F6+\"
\n" ); document.write( "\"a+=+%284+%2B-+sqrt%284%29%29%2F6+\"
\n" ); document.write( "\"a+=+1\"
\n" ); document.write( "\"a+=+1%2F3\"
\n" ); document.write( "sin theta = 1
\n" ); document.write( "(1) theta = 90 degrees
\n" ); document.write( "sin theta = 1/3
\n" ); document.write( "(2) theta = 19 degrees 28 min
\n" ); document.write( "(3) theta = 199 degrees 28 min
\n" ); document.write( "
\n" );