Final answer:
Tan 341° can be expressed as tan 19°, where 19° is a positive acute angle equivalent due to the periodicity of the tangent function.
Step-by-step explanation:
To express tan 341° as a function of a positive acute angle, we need to find the equivalent angle in the first quadrant. Since the tangent function has a period of 180°, we can use this property to find the acute angle with an equivalent tangent value. The acute angle associated with 341° is its supplement in the first quadrant, which is 360° - 341° = 19°. Hence, tan 341° is the same as tan 19°, because tangent is positive in both the first and fourth quadrants. To summarize, tan 341° can be expressed as tan 19°, where 19° is the positive acute angle.