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Monday, 06 April 2026
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If \(tan x = \frac{1}{\sqrt{3}}\), find cos x - sin x such that \(0^o \leq x \leq 90^o\)

If \(tan x = \frac{1}{\sqrt{3}}\), find cos x - sin x such that \(0^o \leq x \leq 90^o\)
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  • 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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