document.write( "Question 118395: What is the exact value of cos210degrees sin^2 60degrees/cos(-135degrees) \n" ); document.write( "
Algebra.Com's Answer #86520 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
What is the exact value of cos210degrees sin^2 60degrees/cos(-135degrees)
\n" ); document.write( "------------------
\n" ); document.write( "cos(210) = (-sqrt3)/2
\n" ); document.write( "---------------
\n" ); document.write( "sin60 = (sqrt3)/2 ; so sin^2(60) = 3/4
\n" ); document.write( "------------------
\n" ); document.write( "cos(-135) = (-sqrt2)/2
\n" ); document.write( "==========================
\n" ); document.write( "So cos210degrees sin^2 60degrees/cos(-135degrees)
\n" ); document.write( "= [(-sqrt3)/2][3/4]/[(-sqrt2)/2\r
\n" ); document.write( "\n" ); document.write( "=(3/4)[sqrt(3)/2]\r
\n" ); document.write( "\n" ); document.write( "= [3sqrt(3)]/[4sqrt2]\r
\n" ); document.write( "\n" ); document.write( "= [3sqrt(6)]/8\r
\n" ); document.write( "\n" ); document.write( "= (3/8)sqrt(6)
\n" ); document.write( "===================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );