Question

Evaluate the limit as theta approaches 0. (cos θ tan θ) / θ

Answer 1

We are given with the expression (cos θ tan θ) / θ and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. The answer is zero over zero. This  is indeterminate so we derive the terms accdg to L'hopital's rule. The derivative is cos θ* sec^2 θ - sin θ tan θ /1. cos θ is 1 so is sec θ. Hence the answer is 1.