## Trigonometry (11th Edition) Clone

$$\frac{\cos\theta}{\sin\theta\cot\theta}=1$$ The trigonometric expression is an identity, proved by the simplification of the left side.
$$\frac{\cos\theta}{\sin\theta\cot\theta}=1$$ The left side is more complex, and we would simplify it. $$A=\frac{\cos\theta}{\sin\theta\cot\theta}$$ $$A=\frac{\cos\theta}{\sin\theta}\times\frac{1}{\cot\theta}$$ We find that we can represent $$\frac{\cos\theta}{\sin\theta}=\cot\theta$$ So, $$A=\cot\theta\times\frac{1}{\cot\theta}$$ $$A=1$$ The trigonometric expression is hence proved to be an identity.