need help with this problem

[abel muroi]

I was given the problem 2cos² x - cos x = 1 and was told to find all values of x between 0 and 360.

ok so the thing that threw me off was the second cos in the equation.. am i supposed to factor this?

how do i start?

 

[Steven G]

I was given the problem 2cos² x - cos x = 1 and was told to find all values of x between 0 and 360.

ok so the thing that threw me off was the second cos in the equation.. am i supposed to factor this?

how do i start?

If you do, then you have cos x(2cos x - 1) =1
Now you have a product of two factors that equals 1. What can the factors be?
Have you been studying your algebra?

 

[Ishuda]

I was given the problem 2cos² x - cos x = 1 and was told to find all values of x between 0 and 360.

ok so the thing that threw me off was the second cos in the equation.. am i supposed to factor this?

how do i start?

What would you do if it were
2 x² - x - 1 = 0