## Trigonometry (11th Edition) Clone

$$\frac{1+\cot\theta}{\cot\theta}=\tan\theta+1$$
$$A=\frac{1+\cot\theta}{\cot\theta}$$ $$A=\frac{1}{\cot\theta}+\frac{\cot\theta}{\cot\theta}$$ $$A=\frac{1}{\cot\theta}+1$$ - Reciprocal Identity: $$\cot\theta=\frac{1}{\tan\theta}$$ So, we can rewrite like this: $$\tan\theta=\frac{1}{\cot\theta}$$ And we replace into $A$: $$A=\tan\theta+1$$