Final answer:
The period of the cotangent function y = 3cot(4x - 3π) is π/4, calculated by dividing π by the absolute value of the coefficient of x inside the cotangent, which in this case is 4.
Step-by-step explanation:
The student has asked about finding the period of the trigonometric function y = 3cot(4x - 3π). The period of a cotangent function is the length of one complete cycle, and it can be determined by the coefficient of x inside the function. For the cotangent function, which is the reciprocal of the tangent function, the period is π divided by the absolute value of the coefficient of x. In this case, the coefficient is 4.
To calculate the period (P) of y = 3cot(4x - 3π), divide π by the absolute value of the coefficient (4): P = π / |4| = π / 4. Therefore, the period of the function is π/4.