Consider the following statements :

1. If ABC is an equilateral triangle, then 3 tan (A + B) tan C = 1.

2. If ABC is a triangle in which A = 78°, B = 66°, then tan (B + C)/2 < tan A.

3. If ABC is any triangle, then tan (A + B)/2 = cot (C/2).

Which of the above statements is/are correct?

Mathematics 2016 NDA Mathematics 2016 NDA 2016

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