Final answer:
The student's question involves terms characteristic of a system's response to a step input, such as rise time, peak time, settling time, and maximum percent overshoot. Direct calculation from the given equation is not feasible without additional information on the system's parameters or context.
Step-by-step explanation:
The student's question relates to the analysis of a control system or signal response based on a given equation c(t)=1−1.25e⁻°.⁷⁵⁻·t sin((7)t+53.1°). The terms such as rise time (tr), peak time (tp), settling time (ts), and maximum percent overshoot (Mp) are characteristics of a system's response to a step input. However, without specific system parameters or the context in which this function applies, calculating these values directly from the given equation is not feasible. Typically, these values are based on the dynamics of a second-order system's step response, which can be calculated from standard parameters like damping ratio and natural frequency. If the equation represents a second-order system's response, the values can be extracted using known formulas. However, since this is not provided and the equation has a sinusoidal component, it indicates a need for additional information or context which is missing here.