Given that Cos A = \(\frac{12}{13}\) for 0 \le A \le 90º, find Tan A.
A
\(\frac{5}{12}\)
B
\(\frac{12}{13}\)
C
\(\frac{5}{13}\)
D
\(\frac{13}{12}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Sin A = \(\sqrt{(1 - (\frac{12}{13})^2)}\) = \(\sqrt{(1 - \frac{144}{169}}\))
= \(\sqrt{(\frac{25}{169})}\) = \(\frac{5}{13}\).
Tan A = (\(\frac{5}{13}\)) \(\div\) (\(\frac{12}{13}\)) = \(\frac{5}{12}\).
Source: Myschool Past Questions Archive (Record #74097)