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Solve: \(2\cos x - 1 = 0\).

Further Mathematics
WAEC 2015

Solve: \(2\cos x - 1 = 0\).

  • A. \((\frac{2\pi}{3}, \frac{4\pi}{3})\)
  • B. \((\frac{\pi}{6}, \frac{5\pi}{6})\)
  • C. \((\frac{\pi}{5}, \frac{2\pi}{5})\)
  • D. \((\frac{\pi}{3}, \frac{5\pi}{3})\)
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Correct Answer: Option D
Explanation

\(2\cos x - 1 = 0 \implies 2\cos x = 1\)

\(\cos x = \frac{1}{2}\)

\(x = \cos^{-1} (\frac{1}{2})\)

= \(\frac{\pi}{3}\) = \(\frac{5\pi}{3}\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
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