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3 cos² 60 + 2 (1/tan² 30) - 5 sin² 45 = 3 (1/2)² + 2 (1/(1/3)√3)² - 5 ((1/2)√2)²
= 3/4 + 2/(1/3) - 10/4
= 3/4 + 6 - 10/4
= 17/4