यदि cos x = tan y, cot y = tan z और cot z = tan x है, तो sin x का मान क्या है?

1
\(\dfrac{\sqrt{5}-1}{2}\)
2
\(\dfrac{\sqrt{5}+1}{2}\)
3
\(\dfrac{\sqrt{5}+1}{4}\)
4
\(\dfrac{\sqrt{5}-1}{4}\)

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