## Trigonometry (11th Edition) Clone

The two solutions in the given interval are: $x = 0$ $x = 0.3760$
$x^3-cos^2~x = \frac{x}{2}-1$ $cos^2~x = x^3-\frac{x}{2}+1$ We can graph the two equations $~~y = cos^2~x~~$ and $~~y = x^3-\frac{x}{2}+1~~$ to find the points of intersection. The blue graph is $~~y = x^3-\frac{x}{2}+1$ The red graph is $~~y = cos^2~x$ We can see that the points of intersection occur when $~~x = 0~~$ and $~~x = 0.3760$ The two solutions in the given interval are: $x = 0$ $x = 0.3760$