Mister Exam
Other calculators
- Square Inequality Step-by-Step
- Inequality with the module Step by Step
- Logarithmic inequality online
-
How to use it?
- Inequation:
- 7x-2x^2>0
- (|x^2-5*x+4/x^2-4|)<=1
- (x-2)*(4-x^2)^1/2>0
- (2*x+5)/|2+x|<1
- Graphing y =:
-
sin2x
- Derivative of:
-
sin2x
- Sum of series:
- sin2x
- Limit of the function:
-
-3/2
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Identical expressions
- sin two x<- three /2
- sinus of 2x less than minus 3 divide by 2
- sinus of two x less than minus three divide by 2
- sin2x<-3 divide by 2
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Similar expressions
- sin(2*x+(pi/4))<=sqrt(3)/2
- 3|x+1|+(1/2)|x-2|-(3/2)x<=8
- 2sin^2(x)-5sin(x)+2>=0
- sin*x+3/2>=-sin^2*x+3/2-cos^2*x+3/2
- sin2x<+3/2
- ((x^2-6-x)/(x^2-4))+((2*x-3)/(2-x))+((x^2)/x)<=0
- (2/3)^((x-3)/(2x+5))>9/4
- (20x^7)+(28x^5)+(210x)-(35sin(2x))>0
sin2x<-3/2 inequation
The solution
Detail solution
Given the inequality:
$$\sin{\left(2 x \right)} < - \frac{3}{2}$$
To solve this inequality, we must first solve the corresponding equation:
$$\sin{\left(2 x \right)} = - \frac{3}{2}$$
Solve:
Given the equation
$$\sin{\left(2 x \right)} = - \frac{3}{2}$$
- this is the simplest trigonometric equation
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.
$$x_{1} = \frac{\pi}{2} + \frac{\operatorname{asin}{\left(\frac{3}{2} \right)}}{2}$$
$$x_{2} = - \frac{\operatorname{asin}{\left(\frac{3}{2} \right)}}{2}$$
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
$$\sin{\left(0 \cdot 2 \right)} < - \frac{3}{2}$$
but
so the inequality has no solutions
$$\sin{\left(2 x \right)} < - \frac{3}{2}$$
To solve this inequality, we must first solve the corresponding equation:
$$\sin{\left(2 x \right)} = - \frac{3}{2}$$
Solve:
Given the equation
$$\sin{\left(2 x \right)} = - \frac{3}{2}$$
- this is the simplest trigonometric equation
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.
$$x_{1} = \frac{\pi}{2} + \frac{\operatorname{asin}{\left(\frac{3}{2} \right)}}{2}$$
$$x_{2} = - \frac{\operatorname{asin}{\left(\frac{3}{2} \right)}}{2}$$
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
$$\sin{\left(0 \cdot 2 \right)} < - \frac{3}{2}$$
0 < -3/2
but
0 > -3/2
so the inequality has no solutions
Solving inequality on a graph
Rapid solution
This inequality has no solutions