अगर $\frac{\sec \theta+\tan \theta}{\sec \theta-\tan \theta}=2 \frac{51}{79}$ तो $\sin \theta$ का मूल्य है

$\frac{\sec \theta+\tan \theta}{\sec \theta-\tan \theta}=2 \frac{51}{79}=\frac{158+51}{79}=\frac{209}{79}$

घटक और लाभांश द्वारा,

$\frac{\sec \theta+\tan \theta+\sec \theta-\tan \theta}{\sec \theta+\tan \theta-\sec \theta+\tan \theta}=\frac{209+79}{209-79}$

$\Rightarrow \frac{2 \sec \theta}{2 \tan \theta}=\frac{288}{130} \Rightarrow \frac{\sec \theta}{\tan \theta}=\frac{144}{65}$

$\therefore \quad \sin \theta=\frac{\tan \theta}{\sec \theta}=\frac{65}{144}$