Final answer:
The answer to the translation of the function y=cos θ by (π/4) units down and π units to the left is y=cos(θ+π)-π/4.
Step-by-step explanation:
Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc)
The function you're looking for, which is a translation of the function y=cos θ by (π/4) units down and π units to the left, is y=cos(θ+π)-π/4. This result can be obtained by understanding that shifting a function down is represented in the equation by subtracting the shift amount from y, and shifting a function to the left is represented by adding the shift amount to the variable inside the function.
Learn more about Function Translation