If the pairwise correlation coefficients between three random variables X1, X2 and X3 are r12 = cosθ, r13 = sin θ, r23 = cos θ, then the partial correlation coefficient r123 is equal to: 

1
cos θ - 1
2
sin θ - 1
3
tan θ - 1
4
cot θ - 1

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