For 0 < x < pi. sin(x) is positive,for pi < x < 2*pi, sin(x) is negative
and these intervals can be left or right-shifted by any multiple of 2*pi radians.
Sign.
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Sign .
The amplitude of a sine (or cosine) curve is the difference between the maximum and minimum values of the curve, measured over a whole cycle.
The domain of the sine function is all real numbers, or (-∞, ∞). Note the curly brackets around this interval, when a domain or range includes positive or negative infinity, it is never inclusive.
Basically, it IS a curve.
a normal sine curve exists with the formula Asin(Bx+C)+D. The formula to derive a phase shift would be such: 2pi/B (for whatever value B exists at). Thus, for a normal sine curve (sin(x) we would get 2pi/1, and arrive at 2pi for the period.
Cosine
The sine curve is exactly the same as the cosine curve shifted pi/2 radians to the left
sine wave.
The angle.
The sign is >. Sine is a trigonometric function.
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
Sound waves are transmitted through a medium as variations in the pressure of the medium. If the variation is plotted as a function of distance (or time), they will generate a sine curve (the cosine curve is the same as a sine curve with a phase shift). In practise, the sine curve is damped: the amplitude (or height) of the oscillations gradually decrease over time or distance, because of attenuation.
Sign.
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sine