Mister Exam

Lang:

How to use it?
Inequation:
log0,7(2x-6)>log0,7(5-x)
x^2log625(2-x)≥log5(x^2-4x+4)
3x+12≥6x
pi/2>arcsin(x)
Integral of d{x}:
sin(2x)
Derivative of:
sin(2x)
Graphing y =:
sin(2x)
Identical expressions
sin(2x)>sqrt(three)*cos(x)
sinus of (2x) greater than square root of (3) multiply by co sinus of e of (x)
sinus of (2x) greater than square root of (three) multiply by co sinus of e of (x)
sin(2x)>√(3)*cos(x)
sin(2x)>sqrt(3)cos(x)
sin2x>sqrt3cosx
Similar expressions
2sin^2x+sin2x-4cos^2x>0
4sin2xcos2x>=2
cos(x)*(-sqrt(3)cos(x)-2*sin(3x))<=0
2^(2x)-sqrt3*(cosx)-6sin^2(x)>0
arcsin((2x-3)/5)>arcsin((4x+1)/5)
sinx-(sqrt3)cosx>=0
sin(x)+sqrt(3)cos(x)<1
sin2x<(\sqrt(3))/(2)
sin(2x)>sqrt(3)*cosx

sin(2x)>sqrt(3)*cos(x) inequation

You have entered [src]

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sin(2*x) > \/ 3 *cos(x)

$$\sin{\left(2 x \right)} > \sqrt{3} \cos{\left(x \right)}$$

sin(2*x) > sqrt(3)*cos(x)

Solving inequality on a graph

Rapid solution [src]

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

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

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

Rapid solution 2 [src]

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

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

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