Problem

$\frac{1-\tan ^{2} 22 \frac{1^{\circ}}{2}}{1+\tan ^{2} 22 \frac{1^{\circ}}{2}}$ is equal to :-

Answer

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Answer

\(\boxed{0.7071}\)

Steps

Step 1 :Use the identity \(\tan^2 x = \frac{1 - \cos 2x}{1 + \cos 2x}\) to simplify the expression

Step 2 :Calculate \(\cos 2x\) for \(x = 22.5^\circ\)

Step 3 :Substitute the value of \(\cos 2x\) into the expression

Step 4 :Simplify the expression to get the final answer

Step 5 :\(\boxed{0.7071}\)

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