Determine an exact value for the expression:

[sin(pi/3)-cos(5pi/6)]

----------------------

[1-tan(3pi/4)cot(pi/4)]

ok, here are my steps: can someone tell me where my errors are

the answer is supposed to be sqrt3/2

[sin(pi/3)-cos(5pi/6)]

----------------------

[1-tan(3pi/4)cot(pi/4)]

[(sqrt3/2)-(-sqrt3/2)]/[1-(-1)(1)

[sqrt3/2+sqrt3/2]/2

[sqrt9/2]/2

sqrt3

I seem to have lost the 2 in the denominator? Where is my error? thanks