To solve this problem, we need to simplify the expression using trigonometric identities.

Given expression:

36/sin^2 43° + 4 + sin^2 133°

First, let's simplify the trigonometric functions:

sin^2 43° = sin^2 (180° - 43°) = sin^2 137°

sin^2 133° = sin^2 (180° - 133°) = sin^2 47°

Now, substitute these values back into the expression:

36/sin^2 43° + 4 + sin^2 133°

= 36/sin^2 137° + 4 + sin^2 47°

Now, you may choose to leave the expression in this form or continue simplifying further based on the problem context.