To simplify this expression, we can use trigonometric identities:

sin(π/2 - x) = cos(x)
tan(-x) = -tan(x)

Therefore, the expression becomes:

cos(x)*(-tan(x))/cos(π/2 + x)

Now, we know that cos(π/2 + x) = -sin(x)

The expression simplifies to:

-cos(x)*tan(x)/(-sin(x))

This simplifies further to:

cos(x)*tan(x)/sin(x)

Which simplifies to:

sin(x)

Therefore, the simplified expression is sin(x).