Final answer:
Cannot determine the function's value at θ = π/4 without more information; the student's question does not align with the angular velocity context provided. Therefore, the answer could not be predicted.
Step-by-step explanation:
The student is asking to evaluate the function when θ = π/4. However, the information provided pertains to angular velocity, which is defined as the change in angle (ΔΘ) per unit time (At), and calculates the angular velocity given one-fourth of a revolution (π/2 radians) over a time of 0.0150 s, yielding an angular velocity of 104.7 rad/s.
As they are asking to evaluate a function at a specific angle, which is not mentioned in the context of angular velocity. As such, without the specific function to evaluate, the provided choices (A) π/4, (B) π/2, (C) π, (D) 2π cannot be determined solely based on the information given about angular velocity.
To further clarify, angular velocity is often involved in physics problems where one needs to find the rate of rotation. When a student understands the relationship between the circumference of a circle, the radius, and the concept of radians.