What is the slope of the tangent line to y=cos(x)-2 at x=pi/2 ?

The slope of the tangent to the curve defined by y=cos(x)-2 at the point where x=pi/2 is required.

For a curve y = f(x), the slope of the tangent at x = a is equal to y'(a).

For y = cos x - 2, y' = -sin x

At x = pi/2, y' = 1

The required slope of the tangent is 1.