F(x)=cos(x). Find the x-intercepts of f(x) on [0, 2).
1 answer:
The x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2
<h3>What is the x-intercept of the function?</h3>The x-intercept of the function is the point or points where the graph of the function crosses the x-axis i.e. the point where the function equals 0
<h3>How to find the x-intercepts of the function?</h3>The function is given as
f(x) = cos(x)
And the interval is given as
[0, 2)
The above means that we determine the value of x when the function f(x) equals 0
So, we have
cos(x) = 0
The above equation can be solved graphically
See attachment for the graph of the function f(x) = cos(x)
In the interval [0, 2), the graph crosses the x-axis at points x = π/2 and 3π/2
Hence, the x-intercepts of the function where the function is given as y(x) = cos(x) are π/2 and 3π/2
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