Compute
\[\sin^2 4^\circ + \sin^2 8^\circ + \sin^2 12^\circ + \dots + \sin^2 176^\circ.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Compute
\[\sin^2 4^\circ + \sin^2 8^\circ + \sin^2 12^\circ + \dots + \sin^2 176^\circ.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{45}{2}
Compute
\[\sin^2 4^\circ + \sin^2 8^\circ + \sin^2 12^\circ + \dots + \sin^2 176^\circ.\]
train