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Complete the ordered pair.The graph of y = sin(2x - 1) passes through the point (___, 0).

Question

Complete the ordered pair.The graph of y = sin(2x - 1) passes through the point (___, 0).

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Solution

To find the x-coordinate of the point where the graph of y = sin(2x - 1) passes through the x-axis (y = 0), we can set the equation equal to zero and solve for x.

0 = sin(2x - 1)

To solve for x, we need to isolate it. We can start by taking the inverse sine (sin^-1) of both sides:

sin^-1(0) = sin^-1(sin(2x - 1))

The inverse sine of 0 is 0, so we have:

0 = 2x - 1

Next, we can add 1 to both sides:

1 = 2x

Finally, we can divide both sides by 2 to solve for x:

1/2 = x

Therefore, the x-coordinate of the point where the graph of y = sin(2x - 1) passes through the x-axis (y = 0) is 1/2.

This problem has been solved

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