Let's break this down step by step.

sin(pi/3) = sqrt(3)/2
cos(pi/6) = sqrt(3)/2
tan(45 degrees) = 1
cot(pi/2) = 0

So the expression becomes:

sqrt(3)/2 + 2(sqrt(3)/2) - 1 - 0.5(1/0)

Multiply 2 by (sqrt(3)/2) to get:

sqrt(3)/2 + sqrt(3) - 1 - 0.5(1/0)

Now, 1/0 is undefined, so the expression becomes:

sqrt(3)/2 + sqrt(3) - 1 - undefined

Therefore, the final expression is:

sqrt(3)/2 + sqrt(3) - 1 - undefined