Find the value of `tan22.5^(@)`

Explanation

To find the value of \( \tan 22.5^\circ \), we can use the double angle formula for tangent. Let's go through the steps:

### Step 1: Define the angle
Let \( a = 22.5^\circ \). Then, \( 2a = 45^\circ \).

### Step 2: Use the double angle formula
The double angle formula for tangent states:
\[
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