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Given that Cos A = \(\frac{12}{13}\) for 0 ≤ A ≤ 90º, find Tan A.

Mathematics
JAMB 2025

Given that Cos A = \(\frac{12}{13}\) for 0 ≤ A ≤ 90º, find Tan A.

  • A. \(\frac{5}{12}\)
  • B. \(\frac{12}{13}\)
  • C. \(\frac{5}{13}\)
  • D. \(\frac{13}{12}\)
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Correct Answer: Option A
Explanation

Sin A = \(\sqrt{(1 - (\frac{12}{13})^2)}\) = \(\sqrt{(1 - \frac{144}{169}}\))

= \(\sqrt{(\frac{25}{169})}\) = \(\frac{5}{13}\).

Tan A = (\(\frac{5}{13}\)) \(\div\) (\(\frac{12}{13}\)) = \(\frac{5}{12}\).

There is an explanation video available below.


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Explanation Video

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