Find all solutions to the equation in the interval [0, 2π). (3 points) cos 4x - cos 2x = 0 0, two pi divided by three. , four pi divided by three. pi divided by six , pi divided by two , five pi divided by six , seven pi divided by six , three pi divided by two , eleven pi divided by six 0, pi divided by three. , two pi divided by three. , π, four pi divided by three. , five pi divided by three. no solution

Step-by-step explanation:

This is a trigonometric equation where we need to use the cosine of the double-angle formula

Replacing in the equation

We have

Rearranging

A second-degree equation in cos2x. The solutions are:

For the first solution

cos2x=1 we find two solutions (so x belongs to [0,2\pi))

Which give us

For the second solution

We find four more solutions

Which give us

All the solutions lie in the interval

Summarizing. The six solutions are

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step-by-step explanation:

70

step-by-step explanation: