The minimum value of (\tan A-\cos B)^{2}+(\cot A-\sin B)^{2}, where A and B are independent variables, is of the form a-b \sqrt{c}, where a, b, c are natural numbers. The value of a+b+c is equal to

JEE Advanced 2020 Full Test 4 Paper 2

Question : 54 of 54

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The minimum value of (tan‌A−cos‌B)2+(cot‌A−sin‌B)2, where A and B are independent variables, is of the form a−b√c, where a,b,c are natural numbers. The value of a+b+c is equal to

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