Final answer:
Jacob's error is in using an incorrect value for cosine 330 degrees.
Step-by-step explanation:
Jacob's error in finding the value of tangent 165 degrees is in the calculation of the cosine of 330 degrees. Instead of using the correct value, he used an incorrect value of cosine 330 degrees. By substituting the correct value, we can obtain the accurate result for tangent 165 degrees.