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 concept of complementary angles. Here's a step-by-step solution:

### Step 1: Identify the complementary angles
We know that:
- \( \sin(90^\circ - \theta) = \cos(\theta) \)
- \( \cos(90^\circ - \theta) = \sin(\theta) \)

For \( 67^\circ \):
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