If (tan x = frac{1}{sqrt{3}}), find cos x – sin x such that (0^o leq x leq 90^o)
-
A.
(frac{sqrt{3}+1}{2}) -
B.
(frac{2}{sqrt{3}+1}) -
C.
(frac{sqrt{3}-1}{2}) -
D.
(frac{2}{sqrt{3}-1})
Correct Answer: Option C
Explanation
(cos x = frac{sqrt{3}}{2})
(sin x = frac{1}{2})
(cos x – sin x = frac{sqrt{3} – 1}{2})