Final answer:
The point that lies at the terminal of b = 5/4π in standard position is (-√2/2, -√2/2).
Step-by-step explanation:
In trigonometry, angles in standard position are measured counterclockwise from the positive x-axis. The terminal point of b = 5/4π in standard position will be on the unit circle, where the x-coordinate is equal to cosine of the angle (5/4π) and the y-coordinate is equal to sin of the angle (5/4π).
To find the point, we can use the unit circle or a calculator to evaluate the sine and cosine of 5/4π.
The sine of 5/4π is -√2/2 and the cosine of 5/4π is -√2/2. Therefore, the point that lies at the terminal of b = 5/4π in standard position is (-√2/2, -√2/2).