JAMB 2011 · UTME · Q37

Find the derivative of sin⁡θcos⁡θ\dfrac{\sin\theta}{\cos\theta}.

Worked solution (try it first)
  1. sin⁡θcos⁡θ=tan⁡θ\dfrac{\sin\theta}{\cos\theta} = \tan\theta.
  2. The derivative of tan⁡θ\tan\theta is sec⁡2θ\sec^2\theta, option A.

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