Given that cos xo = \(\frac{1}{r}\), express tan x in terms of r
A
\(\frac{1}{\sqrt{r}}\)
B
\(\sqrt{r}\)
C
\(\sqrt{r^2 + 1}\)
D
\(\sqrt{r^2 - 1}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
cos xo = \(\frac{1}{r}\); \(\sqrt{r^2 - 1}\)
By Pythagoras r2 = 12 + x2 - 1
x = \(\sqrt{r^2 - 1}\)
tan xo = \(\sqrt{r^2 - 1}\)
= \(\sqrt{r^2 - 1}\)
Source: Myschool Past Questions Archive (Record #36631)