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Find the value of sin 45° - cos 30°

Mathematics
JAMB 2009

Find the value of sin 45° - cos 30°

  • A. \(\frac{2+\sqrt{3}}{4}\)
  • B. \(\frac{\sqrt{2}+\sqrt{3}}{4}\)
  • C. \(\frac{\sqrt{2}+\sqrt{3}}{2}\)
  • D. \(\frac{\sqrt{2}-\sqrt{3}}{2}\)
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Correct Answer: Option D
Explanation

\(Sin 45 - cos 30\\
\frac{\sqrt{2}}{2}-\frac{\sqrt{3}}{2}\\
=\frac{\sqrt{2}-\sqrt{3}}{2}\)

There is an explanation video available below.

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Explanation Video

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