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WAEC Mathematics 1992 Question 32

Question 32

Trigonometry

If cos θ = 5/13, what is the value of tan θ for 0 < θ < 90°?

  1. A.13
  2. B.5
  3. C.13/5
  4. D.12/5
  5. E.5/12
Show the answer and explanation

Answer: D (12/5)

Explanation

With adjacent side 5 and hypotenuse 13, the opposite side is √(169 − 25) = 12, so tan θ = 12/5.