Respuesta :
Answer:
Step-by-step explanation:
y=sin (x-h)
We know that sine is a periodic function with period 2pi.
i.e. after a rotation of 2pi angles the graph repeats again.
y = sin (x-h) and y = sin (+2pi+x-h) will have the same graph.
i.e. when h is replaced by 2pi-h, we get the same function.
Thus whenever h is increased or decreased by multiples of 2pi, the graph gets repeated
Two sine functions of the form; y = sin(x – h) that have different values for h will have the same graph at points where the difference in the (x-h) for each sine function is 2pi (2π)
Sine functions:
The sine function, similar to cosine, tangent, cotangent, and a host of other trigonometric functions, is a periodic function, which means it repeats its values on regular intervals, or "periods." In the case of the sine function, that interval is 2π.
The two sine functions will therefore have the same graph at a point where;
- (x-h1) - (x -h2) = 2π
- h2 - h1 = 2π
Read more on sine functions:
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