Given that cos xo frac 1 r express tan x in ter... - WAEC Mathematics 2011 Question
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
\(\sqrt{r^2 - 1}\)
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Correct Option: D
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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