tan 20^o + tan 25^o + tan 20^o tan 25^o এর মান কত?

Explanation:

Another Explanation (5): আমরা জানি, \( \tan(A + B) = \frac{\tan A + \tan B}{1 - \tan A \tan B} \) এখানে, \( A = 20^\circ \) এবং \( B = 25^\circ \) সুতরাং, \( \tan(20^\circ + 25^\circ) = \frac{\tan 20^\circ + \tan 25^\circ}{1 - \tan 20^\circ \tan 25^\circ} \) \( \Rightarrow \tan 45^\circ = \frac{\tan 20^\circ + \tan 25^\circ}{1 - \tan 20^\circ \tan 25^\circ} \) আমরা জানি, \( \tan 45^\circ = 1 \) তাহলে, \( 1 = \frac{\tan 20^\circ + \tan 25^\circ}{1 - \tan 20^\circ \tan 25^\circ} \) \( \Rightarrow 1 - \tan 20^\circ \tan 25^\circ = \tan 20^\circ + \tan 25^\circ \) \( \Rightarrow \tan 20^\circ + \tan 25^\circ + \tan 20^\circ \tan 25^\circ = 1 \) 🎉🎉 অতএব, \( \tan 20^\circ + \tan 25^\circ + \tan 20^\circ \tan 25^\circ \) এর মান 1।😊😊