Let \( f(x)=\frac{\tan \left(\frac{\pi}{4}-x\right)}{\cot 2 x}, x \...

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Let \( f(x)=\frac{\tan \left(\frac{\pi}{4}-x\right)}{\cot 2 x}, x \neq \frac{\pi}{4} \). The value which should be assigned to \( f(x) \) at \( x=\frac{\pi}{4} \), so that it is continuous everywhere is
(a) 1
(b) \( 1 / 2 \)
(c) 2
(d) none of these
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