Quantitative Aptitude Trigonometry Trigonometric Ratios and Identities

If \(\sin θ + \cos θ = \frac{{\sqrt 3 - 1}}{{2\sqrt 2 }}\), then what is the value of tan θ + cot θ? 

1
\(8\left( {\surd 3 - 2} \right)\)
2
\(12\left( {\surd 3 - 2} \right)\)
3
\(12\left( {\surd 3 + 2} \right)\)
4
\(8\left( {\surd 3 + 2} \right)\)

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