Identity: sec^2(x) = 1 + tan^2(x) => tan^2(x) = sec^2 (x) - 1
sec(x) = √[37/6] => sec^2 (x) = 37/6
tan^2 (x) = 37/6 - 1 = 31/6
tan (x) = +/- √[31/6]
Given that sin (x) is negative and sec (x) is positive, we are in the fourth quadrant, so the tangent is negative, then:
tan (x) = - √[31/6] = - 2.27
