Home » If (tan x = frac{1}{sqrt{3}}), find cos x – sin x such that (0^o leq…

If (tan x = frac{1}{sqrt{3}}), find cos x – sin x such that (0^o leq…

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})

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