Difference between revisions of "Trigonometry"
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While most people associate trigonometry with triangles, it is more useful in technical fields to consider the trigonometric functions as related to circles. | While most people associate trigonometry with triangles, it is more useful in technical fields to consider the trigonometric functions as related to circles. | ||
| − | function of time = A''sin''(2πft + | + | function of time = A''sin''(2πft + φ) = A''sin''(ωt + φ) |
where: | where: | ||
Revision as of 17:43, 23 March 2020
While most people associate trigonometry with triangles, it is more useful in technical fields to consider the trigonometric functions as related to circles.
function of time = Asin(2πft + φ) = Asin(ωt + φ)
where:
A, amplitude, the peak deviation of the function from zero.
f, ordinary frequency, the number of oscillations (cycles) that occur each second of time.
ω = 2πf, angular frequency, the rate of change of the function argument in units of radians per second
φ , phase, specifies (in radians) where in its cycle the oscillation is at t = 0.
When φ is non-zero, the entire waveform appears to be shifted in time by the amount φ/ω seconds. A negative value represents a delay, and a positive value represents an advance.
