The question says to find all values of x in the interval [0, 2π] that satisfy the inequality
2cos x + 1 > 0
Now to solve this, I first did,
2 cos x + 1 > 0
2 cos x > -1
cos x > -1/2
And to find where it's greater than -1/2, the only way I would know of is to look at the graph. Now doing that doesn't seem to tell you the exact values so I'm at a loss of how to solve this.
Any advice on how to proceed?