Multiple choice What is the value of 4/3 cot 2 (π/6)+3 cos2 150°-4 cosec 2 45°+8sin (π/2) ? 25/4 1 7/2 13/2 Reveal answer Fill a bubble to check yourself A Correct answer Explanation Simplify each term: 4/3 cot²(π/6) = 4/3 × (√3)² = 4/3 × 3 = 4; 3 cos²150° = 3 × (-√3/2)² = 3 × 3/4 = 9/4; 4 cosec²45° = 4 × (√2)² = 4 × 2 = 8; 8 sin(π/2) = 8 × 1 = 8. Total: 4 + 9/4 - 8 + 8 = 4 + 2.25 = 6.25 = 25/4.