Find the minimum value of
\[\sin^4 x + \frac{3}{2} \cos^4 x,\]as $x$ varies over all real numbers.
Question:
Find the minimum value of
\[\sin^4 x + \frac{3}{2} \cos^4 x,\]as $x$ varies over all real numbers.
Answer:
Let's think step by step.

user
\frac{3}{5}
Find the minimum value of
\[\sin^4 x + \frac{3}{2} \cos^4 x,\]as $x$ varies over all real numbers.
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