6cot²45°-sec²60°+sin²60°-cos²30°
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6cot^2(45)-sec^2(60)+sin^2(60)-cos^2(30)
= 6(1)^2 - (2)^2 + (√3/2)^2 - (√3/2)^2
= 6(1) - 4 + 3/4 - 3/4
= 6 - 4 + 0
= 2
_______________________________
Trigonometric Ratios used:
- cot(45) = 1
- sec(60) = 2
- sin(60) = √3/2
- cos(30) = √3/2
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