UPSC NDA II 2015 Mathematics Solved Paper

Consider the following statements in respect of the determinant |

cos2 α 2	sin2 α 2
sin2 β 2	cos2 β 2

| where α,β are complementary angles
1. The value of the determinant is

1

√2

cos(

α−β

2

)
2. The maximum value of the determinant is

1

√2

Which of the above statements is/are correct