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Post-UTME Mathematics 2006 Objective — Question 9

Question 9 of 10 from the Post-UTME Screening (Post-UTME) Mathematics 2006 Objective paper, with the correct answer and a full explanation.

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Simplify cos²x(sec²x-tan²x) (figures partly unclear in the source)

  • A. 2
  • B. 4
  • C. -1
  • D. 1Correct

Explanation

Using the identity sec²x-tan²x=1, this simplifies to cos²x×1=cos²x; the source's key marks option D, though this only equals a constant 1 if x=0.

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