The value of sin² 30°+cos² 45°+4cot²60°-2sin²90°is
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=sin²30°+cos² 45+4cot²60°-2sin²90°
= (1/2)² + (1/√2)² + 4(1/√3)² - 2(1)²
= 1/4 + 1/2 + 4/3 -2
= 3+6+16-24/12
= 1/12
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