Final answer:
The sinusoidal representation of the given phasor with an amplitude of 16, angular frequency of 26 rad/s, and phase shift of -180 degrees is v(t) = 16 cos(26t + 180°).
Step-by-step explanation:
To find the standard sinusoidal representation of a phasor in the form v(t) = A cos(ωt + φ°) where A is the amplitude, ω is the angular frequency, and φ is the phase shift, we need to convert the given phasor v = 16⁻¹° degrees into this form.
Given that angular frequency ω = 26 rad/s, and taking into account the definition of phase in degrees, we must convert the given phase from degrees to radians or express it in degrees directly if it's within the required range of 0 to 359 degrees. Here, the phase is given as ⁻¹° degrees which can be taken as 180° (since negative phase shifts are equivalent to positive shifts by subtracting from 360°).
Therefore, the sinusoidal representation of the phasor is v(t) = 16 cos(26t + 180°).