sin 50°- sin 70°+ sin10°=?

Explanation:

Another Explanation (5): sin 50° - sin 70° + sin 10° এর মান নির্ণয়: আমরা জানি, \(sin C - sin D = 2 cos(\frac{C+D}{2}) sin(\frac{C-D}{2})\) এখানে, C = 50° এবং D = 70° অতএব, sin 50° - sin 70° = \(2 cos(\frac{50°+70°}{2}) sin(\frac{50°-70°}{2})\) = \(2 cos(60°) sin(-10°)\) = \(2 \times \frac{1}{2} \times (-sin 10°)\) [∵ cos 60° = \(\frac{1}{2}\) এবং sin(-θ) = -sin θ] = - sin 10° সুতরাং, sin 50° - sin 70° + sin 10° = - sin 10° + sin 10° = 0 Ans: 0 🎉