Trigonometry (11th Edition) Clone

$$\frac{\cot\theta}{\sec\theta}=\frac{\cos^2\theta}{\sin\theta}$$
$$A=\frac{\cot\theta}{\sec\theta}$$ We need to rewrite $\cot\theta$ and $\sec\theta$ in terms of $\sin\theta$ and $\cos\theta$, using the following identities $$\cot\theta=\frac{\cos\theta}{\sin\theta}\hspace{2cm}\sec\theta=\frac{1}{\cos\theta}$$ $$A=\frac{\frac{\cos\theta}{\sin\theta}}{\frac{1}{\cos\theta}}$$ $$A=\frac{\cos\theta\times\cos\theta}{\sin\theta\times1}$$ $$A=\frac{\cos^2\theta}{\sin\theta}$$ It could not be simplified to any simpler form, so we stop here.