Question 809217: Find the first three x-intercepts of the graph of the given function on the positive x-axis.
f(x) = −2 sin(7x + π)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find the first three x-intercepts of the graph of the given function on the positive x-axis.
f(x) = −2 sin(7x + π)
set f(x)=0
sin(7x + π)=0
inverse sin(0)=0,π,2π,3π,4π (0 and 2π do not result in x-intercepts on the positive x-axis)
..
1st intercept
sin(7x + π)=2π
7x=2π-π=π
x=π/7
x=0.448799
..
2nd intercept
sin(7x + π)=3π
7x+π=3π
7x=3π-π=2π
x=2π/7
x=0.897598
..
3rd intercept
sin(7x + π)=4π
7x+π=4π
7x=3π-π=3π
x=3π/7
x=1.346397
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