Question

solve the equation cos 2x=1/2 in the interval[0,2pi)

Answer 1

ik cos2x has a period of pi

Answer 2

Are you familiar with a unit circle? Look at where cos is equal to 1/2.

It is equal to 1/2 at two locations.

Answer 3

But you have cos2x. Whatever degree you decide on, it would be 2x = answer. You still need to solve for x, so divide the 2 over and you have x = answer/2

Answer 4

yes pi/3

Answer 5

So...2x = pi/3. What is x?

Answer 6

pi/6 cuz you ctually multiplying ?