In the given sinusoid 5sin(4πt + 60°):
Amplitude: The amplitude of the sinusoid is the coefficient of the sine function, which is 5 in this case. Therefore, the amplitude is 5.
Phase: The phase of the sinusoid is given by the term inside the parentheses, which is 4πt + 60°. The phase determines the horizontal shift or delay of the waveform. In this case, the phase is 60°.
Angular frequency: The angular frequency is the coefficient of the "t" term within the parentheses. In this case, the angular frequency is 4π.
Period: The period of a sinusoidal waveform is the length of one complete cycle. It can be calculated using the formula T = 2π/ω, where ω is the angular frequency. Therefore, the period is T = 2π/(4π) = 1/2.
Frequency: The frequency is the reciprocal of the period. Therefore, the frequency is f = 1/T = 1/(1/2) = 2.
To summarize: Amplitude: 5 Phase: 60° Angular frequency: 4π Period: 1/2 Frequency: 2