Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation sin(x)=0
-
Equation 6*x^2+x-7=0
-
Equation -2*(-2-y)-y-2=0
-
Equation 2*x^2+18*x=0
- Express {x} in terms of y where:
- -8*x-13*y=-17
- -17*x-11*y=-5
- -16*x-7*y=-7
- 3*x-1*y=-5
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Identical expressions
- sqrt(- three *tg(x))= zero
- square root of ( minus 3 multiply by tg(x)) equally 0
- square root of ( minus three multiply by tg(x)) equally zero
- √(-3*tg(x))=0
- sqrt(-3tg(x))=0
- sqrt-3tgx=0
- sqrt(-3*tg(x))=O
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Similar expressions
- sqrt(3*tg(x))=0
sqrt(-3*tg(x))=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\sqrt{- 3 \tan{\left(x \right)}} = 0$$
transform
$$\sqrt{3} \sqrt{- \tan{\left(x \right)}} = 0$$
$$\sqrt{- 3 \tan{\left(x \right)}} = 0$$
Do replacement
$$w = \tan{\left(x \right)}$$
Given the equation
$$\sqrt{3} \sqrt{- w} = 0$$
so
$$- 3 w = 0$$
Divide both parts of the equation by -3
We get the answer: w = 0
do backward replacement
$$\tan{\left(x \right)} = w$$
Given the equation
$$\tan{\left(x \right)} = w$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(w \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(w \right)}$$
, where n - is a integer
substitute w:
$$x_{1} = \pi n + \operatorname{atan}{\left(w_{1} \right)}$$
$$x_{1} = \pi n + \operatorname{atan}{\left(0 \right)}$$
$$x_{1} = \pi n$$
$$\sqrt{- 3 \tan{\left(x \right)}} = 0$$
transform
$$\sqrt{3} \sqrt{- \tan{\left(x \right)}} = 0$$
$$\sqrt{- 3 \tan{\left(x \right)}} = 0$$
Do replacement
$$w = \tan{\left(x \right)}$$
Given the equation
$$\sqrt{3} \sqrt{- w} = 0$$
so
$$- 3 w = 0$$
Divide both parts of the equation by -3
w = 0 / (-3)
We get the answer: w = 0
do backward replacement
$$\tan{\left(x \right)} = w$$
Given the equation
$$\tan{\left(x \right)} = w$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(w \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(w \right)}$$
, where n - is a integer
substitute w:
$$x_{1} = \pi n + \operatorname{atan}{\left(w_{1} \right)}$$
$$x_{1} = \pi n + \operatorname{atan}{\left(0 \right)}$$
$$x_{1} = \pi n$$