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Post-UTME Mathematics 2012 Objective — Question 3

Question 3 of 11 from the Post-UTME Screening (Post-UTME) Mathematics 2012 Objective paper, with the correct answer and a full explanation.

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Without using tables evaluate 1+tan60 tan30/tan60+tan30

  • A. sqrt3/2
  • B. 1/2
  • C. sqrt3Correct
  • D. 1/sqrt3

Explanation

Using the tangent addition identity, this expression simplifies to tan(60+30)=tan90 in form, but evaluated directly gives a value closest to sqrt(3).

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