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

Explanation

To find the value of \( \sin(105^\circ) \), we can use the sine addition formula. Here’s a step-by-step solution:

### Step 1: Express \( 105^\circ \) as a sum of standard angles
We can express \( 105^\circ \) as:
\[ 105^\circ = 60^\circ + 45^\circ \]

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