cos(2x)

+ inequation

Solve the inequality!

A inequation with variable

The solution

You have entered [src]

cos(2*x) < cos(6*x)

$$\cos{\left(2 x \right)} < \cos{\left(6 x \right)}$$

cos(2*x) < cos(6*x)

Solving inequality on a graph

Rapid solution [src]

  /   /pi          pi\     /pi          3*pi\\
Or|And|-- < x, x < --|, And|-- < x, x < ----||
  \   \4           2 /     \2            4  //

$$\left(\frac{\pi}{4} < x \wedge x < \frac{\pi}{2}\right) \vee \left(\frac{\pi}{2} < x \wedge x < \frac{3 \pi}{4}\right)$$

((pi/4 < x)∧(x < pi/2))∨((pi/2 < x)∧(x < 3*pi/4))

Rapid solution 2 [src]

 pi  pi     pi  3*pi 
(--, --) U (--, ----)
 4   2      2    4   

$$x\ in\ \left(\frac{\pi}{4}, \frac{\pi}{2}\right) \cup \left(\frac{\pi}{2}, \frac{3 \pi}{4}\right)$$

x in Union(Interval.open(pi/4, pi/2), Interval.open(pi/2, 3*pi/4))