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Other calculators
- Square Inequality Step-by-Step
- Inequality with the module Step by Step
- Logarithmic inequality online
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How to use it?
- Inequation:
- 0,5(x-8)*(x+8)>0
- 4^x-12*2^x+33>0
- log^3x+log(x-2)<3
- (2*x-1)/4-(x+3)<-4
- Integral of d{x}:
-
sin(3x+1)
- Derivative of:
-
sin(3x+1)
-
Identical expressions
- sin(3x+ one)<(sqr(two)/ two)
- sinus of (3x plus 1) less than (sqr(2) divide by 2)
- sinus of (3x plus one) less than (sqr(two) divide by two)
- sin3x+1<sqr2/2
- sin(3x+1)<(sqr(2) divide by 2)
-
Similar expressions
- sin(3*x+1)>0
- sin(3x-1)<(sqr(2)/2)
- -sin3x+1>=0
- -sin(3*x)+1>=0
sin(3x+1)<(sqr(2)/2) inequation
The solution
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2
2
sin(3*x + 1) < --
2
$$\sin{\left(3 x + 1 \right)} < \frac{2^{2}}{2}$$
sin(3*x + 1) < 2^2/2
Detail solution
Given the inequality:
$$\sin{\left(3 x + 1 \right)} < \frac{2^{2}}{2}$$
To solve this inequality, we must first solve the corresponding equation:
$$\sin{\left(3 x + 1 \right)} = \frac{2^{2}}{2}$$
Solve:
Given the equation
$$\sin{\left(3 x + 1 \right)} = \frac{2^{2}}{2}$$
- 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.
$$x_{1} = - \frac{1}{3} + \frac{\operatorname{asin}{\left(2 \right)}}{3}$$
$$x_{2} = - \frac{1}{3} + \frac{\pi}{3} - \frac{\operatorname{asin}{\left(2 \right)}}{3}$$
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
$$\sin{\left(0 \cdot 3 + 1 \right)} < \frac{2^{2}}{2}$$
so the inequality is always executed
$$\sin{\left(3 x + 1 \right)} < \frac{2^{2}}{2}$$
To solve this inequality, we must first solve the corresponding equation:
$$\sin{\left(3 x + 1 \right)} = \frac{2^{2}}{2}$$
Solve:
Given the equation
$$\sin{\left(3 x + 1 \right)} = \frac{2^{2}}{2}$$
- 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.
$$x_{1} = - \frac{1}{3} + \frac{\operatorname{asin}{\left(2 \right)}}{3}$$
$$x_{2} = - \frac{1}{3} + \frac{\pi}{3} - \frac{\operatorname{asin}{\left(2 \right)}}{3}$$
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
$$\sin{\left(0 \cdot 3 + 1 \right)} < \frac{2^{2}}{2}$$
sin(1) < 2
so the inequality is always executed
Solving inequality on a graph