document.write( "Question 888933: if 3 cot theta =2, find the value of 4 sin theta - 3 cos theta divided by 2 sin theta + 6 cos theta \n" ); document.write( "

Algebra.Com's Answer #537763 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"3%2Acot%28theta%29=2\"$
\n" ); document.write( " $\"cot%28theta%29=2%2F3\"$
\n" ); document.write( " $\"cos%28theta%29%2Fsin%28theta%29=2%2F3\"$
\n" ); document.write( " $\"cos%28theta%29=%282%2F3%29sin%28theta%29\"$
\n" ); document.write( " $\"cos%5E2%28theta%29=%284%2F9%29sin%5E2%28theta%29\"$
\n" ); document.write( "but
\n" ); document.write( " $\"cos%5E2%28theta%29%2Bsin%5E2%28theta%29=1\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"%284%2F9%29sin%5E2%28theta%29%2Bsin%5E2%28theta%29=1\"$
\n" ); document.write( " $\"%2813%2F9%29sin%5E2%28theta%29=1\"$
\n" ); document.write( " $\"sin%5E2%28theta%29=9%2F13\"$
\n" ); document.write( " $\"sin%28theta%29=3%2Fsqrt%2813%29\"$
\n" ); document.write( " $\"cos%28theta%29=2%2Fsqrt%2813%29\"$
\n" ); document.write( "So then,
\n" ); document.write( "

\n" ); document.write( "

\n" ); document.write( "and
\n" ); document.write( " $\"%284sin%28theta%29-3cos%28theta%29%29%2F%282sin%28theta%29%2B6cos%28theta%29%29=6%2F18\"$
\n" ); document.write( " $\"%284sin%28theta%29-3cos%28theta%29%29%2F%282sin%28theta%29%2B6cos%28theta%29%29=1%2F3\"$ \n" ); document.write( "

\n" );