graphing y=sin(x-pie/4) what are the first 5 x values of the graph
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To find the x values for the graph of y = sin(x - π/4), we need to substitute different values for x and observe the corresponding y values.
The sine function produces a repeating pattern every 2π units. Therefore, we can find the first five x values by starting with an initial value and adding 2π repeatedly.
Let's begin by finding the x values for the first five periods of the sine function:
Period 1:
x = 0 + π/4
x = π/4
Period 2:
x = π/4 + 2π
x = π/4 + 8π/4
x = 9π/4
Period 3:
x = 9π/4 + 2π
x = 9π/4 + 8π/4
x = 17π/4
Period 4:
x = 17π/4 + 2π
x = 17π/4 + 8π/4
x = 25π/4
Period 5:
x = 25π/4 + 2π
x = 25π/4 + 8π/4
x = 33π/4
Therefore, the first five x values of the graph y = sin(x - π/4) are:
x = π/4, 9π/4, 17π/4, 25π/4, 33π/4.