Find the value of `sin(105^circ)`

Explanation

To find the value of \( \sin(105^\circ) \), we can break it down into two standard angles. Here’s how to do it step by step:

### Step 1: Split the angle
We can express \( 105^\circ \) as the sum of two angles that are easier to work with. A suitable choice is:
\[ 105^\circ = 60^\circ + 45^\circ \]

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