Discussion

Explanation:

Given tan $\frac{x}{2}$ = $\frac{1-\cos x}{\sin x}$​

Substitute x = 45°, we get

tan $\frac{45}{2}$ = $\frac{1-\cos 45}{\sin 45}$ = $\frac{1-{\displaystyle \frac{1}{\sqrt{2}}}}{\frac{1}{\sqrt{2}}}$ = √2 - 1 ​

Hence, option (a).

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