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JAMB Mathematics 1990 Question 39

Question 39

Trigonometry

If cos θ = 12/13, find 1 + cot2θ

  1. A.169/25
  2. B.25/169
  3. C.169/144
  4. D.144/169
Show the answer and explanation

Answer: A (169/25)

Explanation

With cos θ = 12/13, the opposite side is 5, so sin θ = 5/13. 1 + cot2θ = cosec2θ = (13/5)2 = 169/25.