Evaluate lim θ→0 sin (cos 8θ) / sec 5θ.

In this case, we are given with the expression sin (cos 8θ) / sec 5θ and is asked to evaluate the expression with limit as theta approaches 0. In this case, we just substitute 0 to theta. cos 0 is equal to 1 hence sec 0 is also equal to 1. sin theta is equal to 0.0175. Answer os 0.0175.