Mister Exam
Other calculators
- Square Inequality Step-by-Step
- Inequality with the module Step by Step
- Logarithmic inequality online
-
How to use it?
- Inequation:
- 35*x^2-63*x+28>=0
- im(z)^2<1
- ctgx<√3/3
- 1,7-3(1-m)<-(m-1,9)
- Limit of the function:
-
sqrt(3)/3
-
Identical expressions
- tg(two *x-(pi/ three))<sqrt(three)/ three
- tg(2 multiply by x minus ( Pi divide by 3)) less than square root of (3) divide by 3
- tg(two multiply by x minus ( Pi divide by three)) less than square root of (three) divide by three
- tg(2*x-(pi/3))<√(3)/3
- tg(2x-(pi/3))<sqrt(3)/3
- tg2x-pi/3<sqrt3/3
- tg(2*x-(pi divide by 3))<sqrt(3) divide by 3
-
Similar expressions
- tg(2x-pi/3)<sqrt(3)/3
- tg(2*x+(pi/3))<sqrt(3)/3
- tg(t)>sqrt3/3
- tg(x)>-(sqrt(3))/3
tg(2*x-(pi/3))
The solution
You have entered
[src]
___
/ pi\ \/ 3
tan|2*x - --| < -----
\ 3 / 3
$$\tan{\left(2 x - \frac{\pi}{3} \right)} < \frac{\sqrt{3}}{3}$$
tan(2*x - pi/3) < sqrt(3)/3
Detail solution
Given the inequality:
$$\tan{\left(2 x - \frac{\pi}{3} \right)} < \frac{\sqrt{3}}{3}$$
To solve this inequality, we must first solve the corresponding equation:
$$\tan{\left(2 x - \frac{\pi}{3} \right)} = \frac{\sqrt{3}}{3}$$
Solve:
$$x_{1} = - \frac{\pi}{4}$$
$$x_{1} = - \frac{\pi}{4}$$
This roots
$$x_{1} = - \frac{\pi}{4}$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} < x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{\pi}{4} - \frac{1}{10}$$
=
$$- \frac{\pi}{4} - \frac{1}{10}$$
substitute to the expression
$$\tan{\left(2 x - \frac{\pi}{3} \right)} < \frac{\sqrt{3}}{3}$$
$$\tan{\left(2 \left(- \frac{\pi}{4} - \frac{1}{10}\right) - \frac{\pi}{3} \right)} < \frac{\sqrt{3}}{3}$$
___
/1 pi\ \/ 3
cot|- + --| < -----
\5 3 / 3
the solution of our inequality is:
$$x < - \frac{\pi}{4}$$
_____
\
-------ο-------
x1
Solving inequality on a graph
The solution
You have entered
[src]
___ / pi\ \/ 3 tan|2*x - --| < ----- \ 3 / 3
$$\tan{\left(2 x - \frac{\pi}{3} \right)} < \frac{\sqrt{3}}{3}$$
tan(2*x - pi/3) < sqrt(3)/3
Detail solution
Given the inequality:
$$\tan{\left(2 x - \frac{\pi}{3} \right)} < \frac{\sqrt{3}}{3}$$
To solve this inequality, we must first solve the corresponding equation:
$$\tan{\left(2 x - \frac{\pi}{3} \right)} = \frac{\sqrt{3}}{3}$$
Solve:
$$x_{1} = - \frac{\pi}{4}$$
$$x_{1} = - \frac{\pi}{4}$$
This roots
$$x_{1} = - \frac{\pi}{4}$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} < x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{\pi}{4} - \frac{1}{10}$$
=
$$- \frac{\pi}{4} - \frac{1}{10}$$
substitute to the expression
$$\tan{\left(2 x - \frac{\pi}{3} \right)} < \frac{\sqrt{3}}{3}$$
$$\tan{\left(2 \left(- \frac{\pi}{4} - \frac{1}{10}\right) - \frac{\pi}{3} \right)} < \frac{\sqrt{3}}{3}$$
the solution of our inequality is:
$$x < - \frac{\pi}{4}$$
$$\tan{\left(2 x - \frac{\pi}{3} \right)} < \frac{\sqrt{3}}{3}$$
To solve this inequality, we must first solve the corresponding equation:
$$\tan{\left(2 x - \frac{\pi}{3} \right)} = \frac{\sqrt{3}}{3}$$
Solve:
$$x_{1} = - \frac{\pi}{4}$$
$$x_{1} = - \frac{\pi}{4}$$
This roots
$$x_{1} = - \frac{\pi}{4}$$
is the points with change the sign of the inequality expression.
First define with the sign to the leftmost point:
$$x_{0} < x_{1}$$
For example, let's take the point
$$x_{0} = x_{1} - \frac{1}{10}$$
=
$$- \frac{\pi}{4} - \frac{1}{10}$$
=
$$- \frac{\pi}{4} - \frac{1}{10}$$
substitute to the expression
$$\tan{\left(2 x - \frac{\pi}{3} \right)} < \frac{\sqrt{3}}{3}$$
$$\tan{\left(2 \left(- \frac{\pi}{4} - \frac{1}{10}\right) - \frac{\pi}{3} \right)} < \frac{\sqrt{3}}{3}$$
___
/1 pi\ \/ 3
cot|- + --| < -----
\5 3 / 3
the solution of our inequality is:
$$x < - \frac{\pi}{4}$$
_____
\
-------ο-------
x1
Solving inequality on a graph