Consider the following statements :
1. In a triangle ABC, if cot A·cot B·cot C > 0, then the triangle is an acute angled triangle.
2. In a triangle ABC, if tan A·tan B·tan C > 0, then the triangle is an obtuse angled triangle.
Which of the statements given above is/are correct ?
1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2