Express 75° in radians, leaving your answer in terms of \(\pi\).

FURTHER MATHEMATICS
WAEC 2011

Express 75° in radians, leaving your answer in terms of \(\pi\).

  • A. \(\frac{5\pi}{12}\)
  • B. \(\frac{3\pi}{4}\)
  • C. \(\frac{5\pi}{6}\)
  • D. \(\frac{7\pi}{6}\)

Correct Answer: A. \(\frac{5\pi}{12}\)

Explanation

\(180° = \pi rads\)

\(1° = \frac{\pi}{180}\)

\(\therefore 75° = \frac{\pi}{180} \times 75 \)

= \(\frac{5\pi}{12}\)



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