Multiple Choice Questions on The value of the determinant cos2 theta 2 sin2 theta 2 sin2 theta 2 cos2 theta 2........... for NDA Exam Preparation

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Multiple Choice Questions

The value of the determinant cos2 theta 2 sin2 theta 2 sin2 theta 2 cos2 theta 2...........

Mathematics (NDA) Trigonometry
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    The value of the determinant-

    | cos2θ/2   sin2θ/2 |

    | sin2θ/2   cos2θ/2 |

    for all values of θ, is-

    1

    Incorrect Answer

    cosθ

    Correct Answer

    sinθ

    Incorrect Answer

    cos2θ

    Incorrect Answer
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    Explanation:

    | cos2θ/2  sin2θ/2 |  = (cos4θ/2 – Sin4θ/2) 
    | sin2θ/2  cos2θ/2 |

    = (cos2θ/2 + sin2θ/2) (cos2θ/2 – sin2θ/2)
    = 1.(cos θ) = cos θ

    By: Yachna
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