document.write( "Question 545976: The exact value of 6cos(-61pi/6)-2sin(13pi/4) is...\r
\n" ); document.write( "\n" ); document.write( "A. 3squaroot(3)+squaroot(2)\r
\n" ); document.write( "\n" ); document.write( "B. -3+squaroot(2)\r
\n" ); document.write( "\n" ); document.write( "C. -3-squaroot(2)\r
\n" ); document.write( "\n" ); document.write( "D. 3squaroot(3)-squaroot(2)
\n" ); document.write( "

Algebra.Com's Answer #356495 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
The exact value of 6cos(-61pi/6)-2sin(13pi/4) is...
\n" ); document.write( "A. 3squaroot(3)+squaroot(2)
\n" ); document.write( "B. -3+squaroot(2)
\n" ); document.write( "C. -3-squaroot(2)
\n" ); document.write( "D. 3squaroot(3)-squaroot(2)
\n" ); document.write( "**
\n" ); document.write( "For(-61π/6), use reference angle(-π/6) in quadrant IV where cos>0
\n" ); document.write( "6cos(-61π/6)=6cos(-π/6)=6√3/2=3√3
\n" ); document.write( "..
\n" ); document.write( "For(13π/4), use reference angle(5π/4) in quadrant III where sin<0
\n" ); document.write( "2sin(13pi/4)=2sin(5π/4)=2√2/2=√2
\n" ); document.write( "..
\n" ); document.write( "6cos(-61pi/6)-2sin(13pi/4)=3√3-√2 (ans. D)
\n" ); document.write( "
\n" );