Alright, lets get started.
Please take a look at the diagram attached.
The reference angle of 75 will be 75
As it is mentioned that the angle intersects the unit circle means r = 1
So, finding cos
cos 75 = [tex]\frac{X}{r}[/tex]
cos 75 = [tex]\frac{0.259}{1}[/tex]
cos 75 = 0.259 : Answer
Hope it will help :)