12th Class Mathematics Determinants

  • question_answer 72)
    Prove that the determinant  is independent of .  

    Answer:

    Let       = x(?x2 ? 1) ? sin                         (?sin + x cos )       = ?x3 ? x + x sin2 + sin  cos  ? sin  cos  + x cos2       = ?x3 ? x + x (sin2  + cos2)       = ?x2 ? x + x        (independent of )  


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