Let $a$ and $b$ be real numbers.  Find the maximum value of $a \cos \theta + b \sin \theta$ in terms of $a$ and $b.$
Question:
Let $a$ and $b$ be real numbers.  Find the maximum value of $a \cos \theta + b \sin \theta$ in terms of $a$ and $b.$
Answer:
Let's think step by step.

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\sqrt{a^2 + b^2}
Let $a$ and $b$ be real numbers.  Find the maximum value of $a \cos \theta + b \sin \theta$ in terms of $a$ and $b.$
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