Find the values of the following: (i)`sin75^@` (ii) `cos75^@` (iii) `sin15^@` (iv) `cos15^@`

Explanation

To find the values of \( \sin 75^\circ \), \( \cos 75^\circ \), \( \sin 15^\circ \), and \( \cos 15^\circ \), we can use the trigonometric identities for the sine and cosine of compound angles.

### Step-by-Step Solution:

**(i) Finding \( \sin 75^\circ \)**

1. **Express \( 75^\circ \) as a sum of angles**:
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