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Find the value of sin 45° – cos 30°

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Mathematics JAMB 2009

Find the value of sin 45° – cos 30°

  • \(\frac{2+\sqrt{3}}{4}\)
  • \(\frac{\sqrt{2}+\sqrt{3}}{4}\)
  • \(\frac{\sqrt{2}+\sqrt{3}}{2}\)
  • \(\frac{\sqrt{2}-\sqrt{3}}{2}\) checkmark

The correct answer is: 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 .

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