Answer
$$\csc\theta+\cot\theta=\frac{1+\cos\theta}{\sin\theta}$$
Work Step by Step
$$A=\csc\theta+\cot\theta$$
- The following identities would be used to rewrite $\csc\theta$ and $\cot\theta$.
$$\csc\theta=\frac{1}{\sin\theta}\hspace{2cm}\cot\theta=\frac{\cos\theta}{\sin\theta}$$
Therefore,
$$A=\frac{1}{\sin\theta}+\frac{\cos\theta}{\sin\theta}$$
$$A=\frac{1+\cos\theta}{\sin\theta}$$
