UPSC CDS I 2024 Math Paper

Consider the following statements :
1. In a triangle ABC, if sin A + sin B + sin C = ‌

3√3

2

, then the triangle can be equilateral.
2. In a triangle ABC, if cos A + cos B + cos C = ‌

3

2

, then the triangle can be equilateral.
Which of the statements given above is/are correct ?