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

whatever you can spend with $11.53 or under.

step-by-step explanation:

20 - 8.47 = 11.53. take away the money he used for lunch from the starting amount of 20.

7

step-by-step explanation: