## Trigonometry (11th Edition) Clone

We need to fill in the blank with $\tan$.
$$\tan24^\circ=\frac{1}{A66^\circ}\hspace{1cm}(1)$$ From the Cofunction Identity: $$\tan\theta=\cot(90^\circ-\theta)$$ So $$\tan24^\circ=\cot(90^\circ-24^\circ)=\cot66^\circ$$ Also, from Reciprocal Identity: $$\cot\theta=\frac{1}{\tan\theta}$$ Therefore, $$\tan24^\circ=\frac{1}{\tan66^\circ}$$ We thus need to fill in the blank with $\tan$.