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  • Inequation:
  • log(x)/log(3)<11-x
  • (x+y-3)<0
  • log27>log27
  • 1−4x<2x+23−x−12

  • Identical expressions

  • cos(x/ three)^ two -sin(x/ three)^ two >= one / two
  • co sinus of e of (x divide by 3) squared minus sinus of (x divide by 3) squared greater than or equal to 1 divide by 2
  • co sinus of e of (x divide by three) to the power of two minus sinus of (x divide by three) to the power of two greater than or equal to one divide by two
  • cos(x/3)2-sin(x/3)2>=1/2
  • cosx/32-sinx/32>=1/2
  • cos(x/3)²-sin(x/3)²>=1/2
  • cos(x/3) to the power of 2-sin(x/3) to the power of 2>=1/2
  • cosx/3^2-sinx/3^2>=1/2
  • cos(x divide by 3)^2-sin(x divide by 3)^2>=1 divide by 2

  • Similar expressions

  • cos(x/3)^2+sin(x/3)^2>=1/2
Solving inequalities/ cos(x/3)^2-sin(x/3)^2>=1/2

cos(x/3)^2-sin(x/3)^2>=1/2 inequation

A inequation with variable

The solution

You have entered [src] 
   2/x\      2/x\       
cos |-| - sin |-| >= 1/2
    \3/       \3/
$$- \sin^{2}{\left(\frac{x}{3} \right)} + \cos^{2}{\left(\frac{x}{3} \right)} \geq \frac{1}{2}$$ 
-sin(x/3)^2 + cos(x/3)^2 >= 1/2
Solving inequality on a graph
Rapid solution [src] 
  /   /             pi\     /5*pi                \\
Or|And|0 <= x, x <= --|, And|---- <= x, x <= 3*pi||
  \   \             2 /     \ 2                  //
$$\left(0 \leq x \wedge x \leq \frac{\pi}{2}\right) \vee \left(\frac{5 \pi}{2} \leq x \wedge x \leq 3 \pi\right)$$ 
((0 <= x)∧(x <= pi/2))∨((5*pi/2 <= x)∧(x <= 3*pi))
Rapid solution 2 [src] 
    pi     5*pi       
[0, --] U [----, 3*pi]
    2       2
$$x\ in\ \left[0, \frac{\pi}{2}\right] \cup \left[\frac{5 \pi}{2}, 3 \pi\right]$$ 
x in Union(Interval(0, pi/2), Interval(5*pi/2, 3*pi))
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