$\operatorname{cosec} \theta+\cot \theta=\sqrt{3}$ হলে $\theta$ এর মান কত ?

To find the value of $\theta$ , we can use the given equation: $$\csc \theta + \cot \theta = \sqrt{3}$$ We know that the trigonometric identity for cosecant and cotangent is: $$\csc^2 \theta - \cot^2 \theta = 1$$ We can factor the left side of the equation: $$(\csc \theta - \cot \theta)(\csc \theta + \cot \theta) = 1$$ Now, substitute the given value $\csc \theta + \cot \theta = \sqrt{3}$ : $$(\csc \theta - \cot \theta)(\sqrt{3}) = 1$$ $$\csc \theta - \cot \theta = \frac{1}{\sqrt{3}}$$ We now have two equations: