Sin Θ - cos Θ = 1 / 2, find Tan Θ + cot Θ

Sin Θ - cos Θ = 1 / 2, find Tan Θ + cot Θ

The solution of sin θ - cos θ = 1 / 2 is: Sin & # 178; θ - 2Sin θ cos θ + cos & # 178; θ = 1 / 4, i.e. 1-2sin θ cos θ = 1 / 4 〈 sin θ cos θ = 3 / 8 〉 Tan θ + cot θ = (sin θ / cos θ) + (COS θ / sin θ) = (Sin & # 178; θ + cos & # 178; θ) / (sin θ cos θ) = 1 / (3 / 8) = 8 / 3