Over the interval [0, 2pi), what are the solutions to cos(2x) = cos(x)? Check all that apply.
2 answers:
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<h2>Answer:</h2>
From the given graph, we can know two points:
Using the slope intercept form of the equation of a line, we get:
Where the slope is and the y-intercept is
From mathematics, we know that a system of two linear equations has no solution if and only if the two equations have the same slope, but not the same y-intercept. So, from the options, the second equation is:
And the slope intercept form of this equation is:
So the slope is and the y-intercept is
, the systems formed by these two equations has no solution.