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).
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.
Similar Questions
The graph of y = –2 sin (x – 2) + 1 has amplitude of:Question 16Select one:a.0b.1c.2d.3e.4
Graphs of sin x and sin 2x intersect at x = _______ in the interval (0, π)
n the interval [0, π], graphs of sin x, 2 sin x and sin 2x are _______ x - axesand some portion of the graph of sin 2x lies _______ x-axes
The graph of y = tanx + 1 crosses the y-axis at _____.
he maximum height of the graph of sin 2x is ___________. It is at x =_________.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.