The solutions of the equation on the interval [0, 2π] are:
Code snippet
x=pi/6
x=5pi/6
x=11pi/6
x=17pi/6
We can solve this equation as follows:
Code snippet
4cos^2(x)-3=0
cos^2(x)=3/4
cos(x)=sqrt(3)/2 or cos(x)=-sqrt(3)/2
x=pi/6+2pi*k or x=5pi/6+2pi*k, where k is any integer
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In the interval [0, 2π], the possible values of x are:
Code snippet
x=pi/6
x=5pi/6
x=11pi/6
x=17pi/6
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Therefore, the solutions of the equation on the interval [0, 2π] are:
Code snippet
x=pi/6
x=5pi/6
x=11pi/6
x=17pi/6