Final answer:
To find the standard sinusoidal representation of the given phasor, convert the phase angle to radians and express it as a positive quantity using the identity sin(x) = sin(x + 360°) = sin(x + 2π).
Step-by-step explanation:
In order to find the standard sinusoidal representation of the given phasor, we need to express it as a positive quantity and with a phase angle between 0 and 359 degrees. The given phasor is v(t) = 7 sin(16t - 270°).
To convert this to the standard sinusoidal representation, we can use the following identity: sin(x) = sin(x + 360°) = sin(x + 2π).
Therefore, the standard representation of the given phasor is v(t) = 7 sin(16t - 270°) = 7 sin(16t - 4.712 rad).