\frac{\sqrt{6} - \sqrt{2}}{4}
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Compute $\cos 75^\circ.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{\sqrt{6} - \sqrt{2}}{4}
Compute $\cos 75^\circ.$
train