Solution :
The value of sin 54 degrees is \(\sqrt{5} + 1\over 4\).
Proof :
We know that value of cos 36 degrees is \(\sqrt{5} + 1\over 4\).
Since 54 degree is the complement of 36 degree.
\(\therefore\) sin 54 = sin(90 โ 36) = cos 36 = \(\sqrt{5} + 1\over 4\)
Hence, sin 54 degrees is \(\sqrt{5} + 1\over 4\).
