Given that cos xo = (frac{1}{r}), express tan x in terms of r

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})
Correct Answer: Option D
Explanation

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})

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