উত্তর সিলেক্ট করলে সঠিক ও ভুল দেখাবে।
ব্যাখ্যা ও সঠিক সমাধান
উত্তর:
1/8
5tanθ = 4 => tanθ = 4/5. Dividing numerator and denominator by cosθ, we get (5tanθ - 3) / (tanθ + 2) = (5(4/5) - 3) / (4/5 + 2) = (4 - 3) / (14/5) = 1 / (14/5) = 5/14. Wait, re-calculating: (4-3)/(1.4+2) = 1/3.4 = 10/34 = 5/17. Let's re-check the provided options. If tanθ = 4/5, then (5sinθ - 3cosθ)/(sinθ + 2cosθ) = (5(4) - 3(5))/(4 + 2(5)) = (20-15)/(4+10) = 5/14.