Answer:
cot(x) = 3
Explanation:
The cotangent is the reciprocal of the tangent.
cot(x) = 1/tan(x) = 1/(1/3) = 3
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It is helpful to memorize the relationships between the trig functions: SOH CAH TOA is a mnemonic that relates triangle sides to trig function values. The remaining relationships you need to know are ...
secant = 1/cosine . . . . . . so cosine = 1/secant
cosecant = 1/sine . . . . . so sine = 1/cosecant
cotangent = 1/tangent . . . . . so tangent = 1/cotangent
It is also helpful to realize that ...
tan = sin/cos
sin² + cos² = 1 . . . the "Pythagorean" relationship between sine and cosine
sec² = 1 + tan²
csc² = 1 + cot²