Express `sin 67^@+cos 75^@` in terms of trigonometric ratios of angles between `0^@ and 45^@`.

Explanation

To express \( \sin 67^\circ + \cos 75^\circ \) in terms of trigonometric ratios of angles between \( 0^\circ \) and \( 45^\circ \), we can use the complementary angle identities of sine and cosine.

### Step-by-Step Solution:

1. **Rewrite \( \sin 67^\circ \)**:
\[ \sin 67^\circ = \sin(90^\circ - 23^\circ) = \cos 23^\circ \]
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