Chapter 1, Problem 60P

(a)

To determine

To show: For all small angles $\left(<20°\right)$ $\tan \alpha \approx \sin \alpha \approx \alpha \approx \frac{\pi {\alpha }^{\prime }}{180°}$.

(b)

To determine

To determine: The largest angle for which $\tan \alpha$ may be approximated by $\alpha$ with an error less than $10.0\%$.