Consider the following statements:1. If ABC is an equilateral triangle, then 3 tan (A + B) tan C = 12. If ABC is a triangle in which A = 78°, B = 66°, then \(\tan \left( {\frac{{\rm{A}}}{2} + {\rm{C}}} \right) < \tan {\rm{A}}\)3. If ABC is any triangle, then \(\tan \left( {\frac{{{\rm{A}} + {\rm{B}}}}{2}} \right)\sin \left( {\frac{{\rm{C}}}{2}} \right) < \cos \left( {\frac{{\rm{C}}}{2}} \right)\)Which of the above statements is/are correct?

Consider the following statements:1. If ABC is an equilateral triangle

1.	Consider the following statements:1. If ABC is an equilateral triangle, then 3 tan (A + B) tan C = 12. If ABC is a triangle in which A = 78°, B = 66°, then \(\tan \left( {\frac{{\rm{A}}}{2} + {\rm{C}}} \right) < \tan {\rm{A}}\)3. If ABC is any triangle, then \(\tan \left( {\frac{{{\rm{A}} + {\rm{B}}}}{2}} \right)\sin \left( {\frac{{\rm{C}}}{2}} \right) < \cos \left( {\frac{{\rm{C}}}{2}} \right)\)Which of the above statements is/are correct?
A.	1 only
B.	2 only
C.	1 and 2
D.	2 and 3
Answer» C. 1 and 2