tan75°-tan30°-tan75°×tan30°  এর মান-

Explanation:

Another Explanation (5): প্রদত্ত রাশিটি হলো: \( \tan 75^\circ - \tan 30^\circ - \tan 75^\circ \tan 30^\circ \) আমরা জানি, \( \tan (A - B) = \frac{\tan A - \tan B}{1 + \tan A \tan B} \) সুতরাং, \( \tan A - \tan B = \tan (A - B) (1 + \tan A \tan B) \) এখানে, \( A = 75^\circ \) এবং \( B = 30^\circ \) তাহলে, \( \tan 75^\circ - \tan 30^\circ = \tan (75^\circ - 30^\circ) (1 + \tan 75^\circ \tan 30^\circ) \) \( = \tan 45^\circ (1 + \tan 75^\circ \tan 30^\circ) \) \( = 1 \cdot (1 + \tan 75^\circ \tan 30^\circ) \) \( = 1 + \tan 75^\circ \tan 30^\circ \) অতএব, \( \tan 75^\circ - \tan 30^\circ - \tan 75^\circ \tan 30^\circ \) \( = (1 + \tan 75^\circ \tan 30^\circ) - \tan 75^\circ \tan 30^\circ \) \( = 1 + \tan 75^\circ \tan 30^\circ - \tan 75^\circ \tan 30^\circ \) \( = 1 \) 🎉 সুতরাং, \( \tan 75^\circ - \tan 30^\circ - \tan 75^\circ \tan 30^\circ = 1 \) ✨