When θ \theta\,θ is small, show that cosθ2sinθ\displaystyle \frac{\cos \theta}{2\sin \theta}2sinθcosθ can be approximated by 2−θ24θ\displaystyle \frac{2 - \theta^2}{4\theta}4θ2−θ2
Hence, approximate the value of cosπ302sinπ30\displaystyle \frac{\cos \frac{\pi}{30}}{2\sin \frac{\pi}{30}}2sin30πcos30π
Calculate the percentage error in your approximation
