What is the value of (4/3) cot² (π/6) + 3 cos² (150°) - 4 cosec² 45° + 8 sin (π/2) ?
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Correct answer: A
Explanation
The correct answer is option 1 i.e. 25/4.
= (4/3) cot² (π/6) + 3 cos² (150°) - 4 cosec² 45° + 8 sin (π/2)
= (4/3) × 3 + 3 × (-√3/2)² - 4 × (√2)² + 8 × 1
= 4 + 3 × 3/2 - 4 × 2 + 8 × 1
= 4 + (9/4)
= 25/4