e $limlimits_{\theta\to0}\frac{1 - cos\theta}{sin\theta}$.
e $limlimits_{\theta\to0}\frac{1 - cos\theta}{sin\theta}$.
Answer
Explanation:
Step1: Use L'Hopital's Rule
Differentiate numerator and denominator. $$\lim_{\theta\rightarrow0}\frac{1 - \cos\theta}{\sin\theta}=\lim_{\theta\rightarrow0}\frac{\sin\theta}{\cos\theta}$$
Step2: Substitute $\theta = 0$
Substitute $\theta = 0$ into the new expression. $$\frac{\sin0}{\cos0}=\frac{0}{1}$$
Answer:
$0$