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?
Mathematics
2015
NDA Mathematics 2015
NDA 2015
Options
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