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JAMB Mathematics 2011 Question 37

Question 37

Differentiation

Find the derivative of sinθ/cosθ.

  1. A.sec2θ
  2. B.tanθ cosecθ
  3. C.cosecθ secθ
  4. D.cosec2θ
Show the answer and explanation

Answer: A (sec2θ)

Explanation

sin θ/cos θ = tan θ, and the derivative of tan θ is sec2θ.