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Other calculators
- Square Inequality Step-by-Step
- Inequality with the module Step by Step
- Logarithmic inequality online
-
How to use it?
- Inequation:
- (x^2-2)/x<(x^3-2)/x^2
- (15^x)-(9*5^x)-(3^x)+9<0
- (3-sqrt(10-x))*(sqrt(x)-2)>0
- ((sqrt3)-2)(26-9x)<(sqrt3)/(2sqrt3+3)
- Limit of the function:
-
sqrt(3)/2
- Derivative of:
-
sqrt(3)/2
-
Identical expressions
- sin4x/ three >sqrt(three)/ two
- sinus of 4x divide by 3 greater than square root of (3) divide by 2
- sinus of 4x divide by three greater than square root of (three) divide by two
- sin4x/3>√(3)/2
- sin4x/3>sqrt3/2
- sin4x divide by 3>sqrt(3) divide by 2
-
Similar expressions
- sin(4*x)/3>-3/2
- ((sqrt3)-2)(26-9x)<(sqrt3)/(2sqrt3+3)
- sin((4*x)/3)>-sqrt(3)*1/2
- sin4*x/3>-sqrt(3)/2
- sin(x)>-sqrt3/2
- sin4*x/3>sqrt(3)*1/2
- cos(2x+(pi/4))>=sqrt3/2
sin4x/3>sqrt(3)/2 inequation
The solution
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[src]
___ sin(4*x) \/ 3 -------- > ----- 3 2
$$\frac{\sin{\left(4 x \right)}}{3} > \frac{\sqrt{3}}{2}$$
sin(4*x)/3 > sqrt(3)/2
Detail solution
Given the inequality:
$$\frac{\sin{\left(4 x \right)}}{3} > \frac{\sqrt{3}}{2}$$
To solve this inequality, we must first solve the corresponding equation:
$$\frac{\sin{\left(4 x \right)}}{3} = \frac{\sqrt{3}}{2}$$
Solve:
Given the equation
$$\frac{\sin{\left(4 x \right)}}{3} = \frac{\sqrt{3}}{2}$$
- this is the simplest trigonometric equation
The equation is transformed to
$$\sin{\left(4 x \right)} = \frac{3 \sqrt{3}}{2}$$
As right part of the equation
modulo =
but sin
can no be more than 1 or less than -1
so the solution of the equation d'not exist.
$$x_{1} = \frac{\pi}{4} - \frac{\operatorname{asin}{\left(\frac{3 \sqrt{3}}{2} \right)}}{4}$$
$$x_{2} = \frac{\operatorname{asin}{\left(\frac{3 \sqrt{3}}{2} \right)}}{4}$$
Exclude the complex solutions:
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
$$\frac{\sin{\left(0 \cdot 4 \right)}}{3} > \frac{\sqrt{3}}{2}$$
so the inequality has no solutions
$$\frac{\sin{\left(4 x \right)}}{3} > \frac{\sqrt{3}}{2}$$
To solve this inequality, we must first solve the corresponding equation:
$$\frac{\sin{\left(4 x \right)}}{3} = \frac{\sqrt{3}}{2}$$
Solve:
Given the equation
$$\frac{\sin{\left(4 x \right)}}{3} = \frac{\sqrt{3}}{2}$$
- this is the simplest trigonometric equation
Divide both parts of the equation by 1/3
The equation is transformed to
$$\sin{\left(4 x \right)} = \frac{3 \sqrt{3}}{2}$$
As right part of the equation
modulo =
True
but sin
can no be more than 1 or less than -1
so the solution of the equation d'not exist.
$$x_{1} = \frac{\pi}{4} - \frac{\operatorname{asin}{\left(\frac{3 \sqrt{3}}{2} \right)}}{4}$$
$$x_{2} = \frac{\operatorname{asin}{\left(\frac{3 \sqrt{3}}{2} \right)}}{4}$$
Exclude the complex solutions:
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
x0 = 0
$$\frac{\sin{\left(0 \cdot 4 \right)}}{3} > \frac{\sqrt{3}}{2}$$
___
\/ 3
0 > -----
2
so the inequality has no solutions
Solving inequality on a graph
Rapid solution
This inequality has no solutions