Cosine Function with Specific Frequency and Phasor

How can we find the cosine function with a specific frequency and phasor?

To find the cosine function with a specific frequency and phasor, what formula can be used?

Formula to Find Cosine Function with Specific Frequency and Phasor

The formula to find the cosine function with a specific frequency and phasor is f(t) = A * cos(wt + φ), where A is the amplitude and φ is the phase shift.

When looking at a specific frequency and phasor, we can utilize the formula f(t) = A * cos(wt + φ) to determine the cosine function. This formula considers the amplitude and phase shift to accurately represent the given data.

For the phasors provided in the data:

  • Phasor F = -17: The cosine function is f(t) = -17 * cos(3600t).
  • Phasor F = 45: The cosine function is f(t) = 45 * cos(3600t).
  • Phasor F = -37+45: The cosine function is f(t) = 58 * cos(3600t - 41.3°).

By understanding the relationship between frequency, phasors, amplitude, and phase shift, we can accurately determine the cosine function that corresponds to the given data. Each phasor provides insight into the amplitude and phase shift needed to calculate the cosine function effectively.

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