Draw the horizontal line \(y = 0.75\). The line \(y = 0.75\) crosses the graph of \(y = \cos{x}\) four times in the interval \(-360^\circ \leq x \leq 360^\circ\) so there are four solutions.

Draw the horizontal line \(y = 0.75\). The line \(y = 0.75\) crosses the graph of \(y = \cos{x}\) four times in the interval \(-360^\circ \leq x \leq 360^\circ\) so there are four solutions.