Express the following as functions of angles less than `45^(@)` :
`sin348^(@)`

Answer

To express \( \sin 348^\circ \) as a function of angles less than \( 45^\circ \), we can follow these steps:

### Step 1: Rewrite the angle
We start by rewriting \( 348^\circ \) in a more manageable form. We can express it as:
\[ 348^\circ = 360^\circ - 12^\circ \]

### Step 2: Use the sine subtraction identity
Using the sine function's property, we have:
\[ \sin(360^\circ - \theta) = -\sin(\theta) \]
Therefore, we can write:
\[ \sin(348^\circ) = \sin(360^\circ - 12^\circ) = -\sin(12^\circ) \]

### Step 3: Identify the quadrant
Since \( 348^\circ \) is in the fourth quadrant (as it is between \( 270^\circ \) and \( 360^\circ \)), we know that the sine function is negative in this quadrant.

### Final Answer
Thus, we can express \( \sin 348^\circ \) as:
\[ \sin 348^\circ = -\sin 12^\circ \]