Find the value of sin 45^\circ - cos 30^\circ
A
\(\frac{2+\sqrt{3}}{4}\)
B
\(\frac{\sqrt{2}+\sqrt{3}}{4}\)
C
\(\frac{\sqrt{2}+\sqrt{3}}{2}\)
D
\(\frac{\sqrt{2}-\sqrt{3}}{2}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(Sin 45 - cos 30\\
\frac{\sqrt{2}}{2}-\frac{\sqrt{3}}{2}\\
=\frac{\sqrt{2}-\sqrt{3}}{2}\)
Source: Myschool Past Questions Archive (Record #9358)