JAMB - Mathematics (2009 - No. 33)
Find the value of sin 45° - cos 30°
\(\frac{2+\sqrt{3}}{4}\)
\(\frac{\sqrt{2}+\sqrt{3}}{4}\)
\(\frac{\sqrt{2}+\sqrt{3}}{2}\)
\(\frac{\sqrt{2}-\sqrt{3}}{2}\)
Обяснение
\(Sin 45 - cos 30\\
\frac{\sqrt{2}}{2}-\frac{\sqrt{3}}{2}\\
=\frac{\sqrt{2}-\sqrt{3}}{2}\)
\frac{\sqrt{2}}{2}-\frac{\sqrt{3}}{2}\\
=\frac{\sqrt{2}-\sqrt{3}}{2}\)