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Post-UTME Mathematics 2016 Objective — Question 58

Question 58 of 60 from the Post-UTME Screening (Post-UTME) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

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Trigonometry 8. For all θ, sinθ + sin(-θ) + cosθ + cos(-θ) + tanθ + tan(-θ) = ?

  • B. 2cosθCorrect
  • C. 2tanθ
  • D. 2sinθtanθ

Explanation

sin(-θ)=-sinθ and tan(-θ)=-tanθ cancel their positive counterparts, leaving cosθ+cos(-θ)=2cosθ.

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