Final answer:
The peak to peak value of a sinusoidal wave given by the equation v(t) = v_p cos(2πft) is 2×v_p.
Step-by-step explanation:
The peak to peak value of a sinusoidal wave, such as v(t) = v_p cos(2πft), is the difference between the maximum positive value and the maximum negative value of the wave. In this function, v_p represents the peak voltage. Therefore, the peak to peak value is simply 2×v_p (twice the peak value), because a sinusoidal wave extends from +v_p to -v_p.