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sinx>12 inequation

A inequation with variable

The solution

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sin(x) > 12
$$\sin{\left(x \right)} > 12$$
sin(x) > 12
Detail solution
Given the inequality:
$$\sin{\left(x \right)} > 12$$
To solve this inequality, we must first solve the corresponding equation:
$$\sin{\left(x \right)} = 12$$
Solve:
Given the equation
$$\sin{\left(x \right)} = 12$$
- 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.
$$x_{1} = \pi - \operatorname{asin}{\left(12 \right)}$$
$$x_{2} = \operatorname{asin}{\left(12 \right)}$$
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

$$\sin{\left(0 \right)} > 12$$
0 > 12

so the inequality has no solutions
Solving inequality on a graph
Rapid solution
This inequality has no solutions