tan40°tan50°tan60° এর মান-

Explanation:

Another Explanation (5): bài giải: \(tan 40^\circ \cdot tan 50^\circ \cdot tan 60^\circ\) 🤩 আমরা জানি, \(tan (90^\circ - \theta) = cot \theta\) এবং \(cot \theta = \frac{1}{tan \theta}\)। সুতরাং, \(tan \theta \cdot cot \theta = 1\)। এখানে, \(tan 50^\circ = tan (90^\circ - 40^\circ) = cot 40^\circ\) তাহলে, \(tan 40^\circ \cdot tan 50^\circ \cdot tan 60^\circ = tan 40^\circ \cdot cot 40^\circ \cdot tan 60^\circ\) যেহেতু \(tan 40^\circ \cdot cot 40^\circ = 1\) 🥳, তাই \(tan 40^\circ \cdot cot 40^\circ \cdot tan 60^\circ = 1 \cdot tan 60^\circ\) আমরা জানি, \(tan 60^\circ = \sqrt{3}\)। অতএব, \(1 \cdot tan 60^\circ = \sqrt{3}\) 😎 সুতরাং, \(tan 40^\circ \cdot tan 50^\circ \cdot tan 60^\circ = \sqrt{3}\) 🥰