sqrt5sintheta=sqrt3 এবং  sqrt5costheta=1  হলে  theta  এর মান কত ? 

Explanation:

Another Explanation (5): দেওয়া আছে, \(\sqrt{5} \sin\theta = \sqrt{3}\) এবং \(\sqrt{5} \cos\theta = 1\) \(\sqrt{5} \cos\theta = 1\) হতে পাই, \(\cos\theta = \frac{1}{\sqrt{5}}\) .....(1) এবং \(\sqrt{5} \sin\theta = \sqrt{3}\) হতে পাই, \(\sin\theta = \frac{\sqrt{3}}{\sqrt{5}}\) .....(2) \( (2) \div (1) \) করে পাই, \(\frac{\sin\theta}{\cos\theta} = \frac{\frac{\sqrt{3}}{\sqrt{5}}}{\frac{1}{\sqrt{5}}}\) \(\Rightarrow \tan\theta = \sqrt{3}\) আমরা জানি, \(\tan 60^\circ = \sqrt{3}\) \(\Rightarrow \tan\theta = \tan 60^\circ \) \(\therefore \theta = 60^\circ \) 🥳