document.write( "Question 692226: Determine an exact value for the expression {{sin pi/3 - cos 5 pi/6} divided by {1 - tan 3 pi/4 cot pi/4}}\r
\n" ); document.write( "\n" ); document.write( "This is what i tried and got:
\n" ); document.write( "{square root 3 - negative square root 3/2} divided by {1- (-1)(1) = 3 multiplied by square root 3 divided by 1 \n" ); document.write( "

Algebra.Com's Answer #426943 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"sin%28pi%2F3%29\"$ $\"pi%2F3\"$ is a special angle. We should know that its sin is $\"sqrt%283%29%2F2\"$
\n" ); document.write( " $\"cos+%285pi%2F6%29\"$ $\"5pi%2F6\"$ is also special angle. (Any integer multiple of $\"pi%2F6\"$ is a special angle.) The reference angle is $\"pi%2F6\"$ and the cos of this is $\"sqrt%283%29%2F2\"$ . Since $\"5pi%2F6\"$ is in the second quadrant and cos is negative there, $\"cos%285pi%2F6%29+=+-sqrt%283%29%2F2\"$
\n" ); document.write( " $\"tan%283pi%2F4%29\"$ $\"3pi%2F4\"$ is also special angle. (Any integer multiple of $\"pi%2F4\"$ is a special angle.) The reference angle is $\"pi%2F4\"$ and the tan of this is 1. Since $\"3pi%2F4\"$ is in the second quadrant and tan is negative there, $\"tan%283pi%2F4%29+=+-1\"$
\n" ); document.write( " $\"cot%28pi%2F4%29\"$ $\"pi%2F4\"$ is a special angle. We should know that its cot is 1.
\n" ); document.write( "Substituting in all these values into your expression we get:
\n" ); document.write( " $\"%28%28sqrt%283%29%2F2%29-%28-sqrt%283%29%2F2%29%29%2F%281-%28-1%29%281%29%29%29\"$
\n" ); document.write( "which simplifies as follows:
\n" ); document.write( " $\"%28%28sqrt%283%29%2F2%29%2B%28sqrt%283%29%2F2%29%29%2F%281-%28-1%29%29%29\"$
\n" ); document.write( " $\"%28%282sqrt%283%29%2F2%29%2F2%29\"$
\n" ); document.write( " $\"%28%28cross%282%29sqrt%283%29%2Fcross%282%29%29%2F2%29\"$
\n" ); document.write( " $\"%28sqrt%283%29%2F2%29\"$ \n" ); document.write( "

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