Trigonometry (11th Edition) Clone

$$\csc\theta\cos\theta\tan\theta=1$$
$$A=\csc\theta\cos\theta\tan\theta$$ - Quotient Identity: $$\tan\theta=\frac{\sin\theta}{\cos\theta}$$ - Reciprocal Identity: $$\csc\theta=\frac{1}{\sin\theta}$$ We replace these into $A$, and we have $$A=\frac{1}{\sin\theta}\times\cos\theta\times\frac{\sin\theta}{\cos\theta}$$ $$A=\frac{1}{\sin\theta}\times\sin\theta$$ $$A=1$$