find the range of function `f(x)=sin(x+(pi)/(6))+cos(x-(pi)/(6))`

Explanation

To find the range of the function \( f(x) = \sin\left(x + \frac{\pi}{6}\right) + \cos\left(x - \frac{\pi}{6}\right) \), we can start by using trigonometric identities to simplify the expression.

### Step 1: Expand the function using trigonometric identities
Using the angle addition and subtraction formulas:
\[ \sin(a + b) = \sin a \cos b + \cos a \sin b \]
\[
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