Correct option is: C) 1
\(\because\) sin \(0^\circ\) = 0, cos \(0^\circ\) = 1, sin \(90^\circ\) = 1, tan \(45^\circ\) = 1
\(\because\) Mode of the values 0, 1, 1, 1 is 1.
\(\therefore\) Mode of the values sin \(0^\circ\), cos \(0^\circ\), sin \(90^\circ\), tan \(45^\circ\) is 1.