$\operatorname{cosec} \theta+\cot \theta=\sqrt[]{3}(0<\theta<\pi)$ হলে, $\theta$ এর মান কত?

$\operatorname{cosec} \theta+\cot \theta=\sqrt{3}$ $\Rightarrow$ $\frac{1}{\sin \theta}+\frac{\cos \theta}{\sin \theta}=\sqrt{3}$ $\Rightarrow$ $\frac{1+\cos \theta}{\sin \theta}=\sqrt{3}$ $\Rightarrow$ $1+\cos \theta=\sqrt{3} \sin \theta$ $\Rightarrow$ $\sqrt{3} \sin \theta-\cos \theta=1$ $\Rightarrow$ $\sin \theta \cdot \frac{\sqrt{3}}{2}-\cos \theta \cdot \frac{1}{2}=\frac{1}{2}$ $\Rightarrow$ $\sin \left(\theta-\frac{\pi}{6}\right)=\sin \frac{\pi}{6}$ $\therefore \theta-\frac{\pi}{6}=\mathrm{n} \pi+(-1)^{\mathrm{n}} \cdot \frac{\pi}{6}, \mathrm{n} \in \mathbb{Z}$ $\Rightarrow \theta=\mathrm{n} \pi+(-1)^{\mathrm{n}} \frac{\pi}{6}+\frac{\pi}{6} ;[0<\theta<\pi$ শর্তে ] $\theta=\frac{\pi}{3}$