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1-2*sin(4*x)
A inequation with variable

The solution

                    2     
1 - 2*sin(4*x) < cos (4*x)
$$1 - 2 \sin{\left(4 x \right)} < \cos^{2}{\left(4 x \right)}$$
1 - 2*sin(4*x) < cos(4*x)^2
Solving inequality on a graph
Rapid solution [src]
   /           pi\
And|0 < x, x < --|
   \           4 /
$$0 < x \wedge x < \frac{\pi}{4}$$
(0 < x)∧(x < pi/4)
Rapid solution 2 [src]
    pi 
(0, --)
    4  
$$x\ in\ \left(0, \frac{\pi}{4}\right)$$
x in Interval.open(0, pi/4)