Evaluate the following limit:

lim x->(pi/2) [((pi/2)-(x))/cosx]

May I please get a hint on how to start this question?

hint:

cos x = sin (pi/2-x)

To evaluate this limit, you can start by substituting the given value, x = π/2, into the expression and see if it results in an indeterminate form.

When x = π/2, the expression becomes [(π/2) - (π/2)]/cos(π/2).

What does this expression simplify to?