If cos x = tan y, cot y = tan z and cot z = tan x, then sin x is equal to

# If cos x = tan y, cot y = tan z and cot z = tan x, then sin x is equal to

1. A

$\frac{\sqrt{5}+1}{4}$

2. B

$\frac{\sqrt{5}-1}{4}$

3. C

$\frac{\sqrt{5}+1}{2}$

4. D

$\frac{\sqrt{5}-1}{2}$

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