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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 .

The two sine functions will therefore have the same graph at a point where;

  • (x-h1) - (x -h2) = 2π

  • h2 - h1 = 2π

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