When θ \theta\,θ is small, show that cosθsinθ\displaystyle \frac{\cos \theta}{\sin \theta}sinθcosθ can be approximated by 2−θ22θ\displaystyle \frac{2 - \theta^2}{2\theta}2θ2−θ2
Hence, approximate the value of cosπ24sinπ24\displaystyle \frac{\cos \frac{\pi}{24}}{\sin \frac{\pi}{24}}sin24πcos24π
Calculate the percentage error in your approximation
