Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 2*x^2-x-1=x^2-5*x-(-1-x^2)
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Equation 9*(x-5)=-x
-
Equation cos(x)=3
-
Equation 2-3*(2*x+2)=5-4*x
- Express {x} in terms of y where:
- -11*x-14*y=-3
- 10*x+1*y=10
- 10*x-2*y=0
- 12*x-13*y=-14
- Integral of d{x}:
- 1/sin(x)
- Graphing y =:
- 1/sin(x)
- Derivative of:
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1/sin(x)
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Identical expressions
- one /sin(x)
- 1 divide by sinus of (x)
- one divide by sinus of (x)
- 1/sinx
- 1 divide by sin(x)
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Similar expressions
- (cos(x)+1)/sin(x)=0
- 1/sinx
- 1/sinx
1/sin(x) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\frac{1}{\sin{\left(x \right)}} = 0$$
transform
$$\frac{1}{\sin{\left(x \right)}} = 0$$
$$\frac{1}{\sin{\left(x \right)}} = 0$$
Do replacement
$$w = \sin{\left(x \right)}$$
Given the equation:
$$\frac{1}{w} = 0$$
Multiply the equation sides by the denominator w
we get:
Move free summands (without w)
from left part to right part, we given:
$$0 = -1$$
This equation has no roots
do backward replacement
$$\sin{\left(x \right)} = w$$
Given the equation
$$\sin{\left(x \right)} = w$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = 2 \pi n + \operatorname{asin}{\left(w \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(w \right)} + \pi$$
Or
$$x = 2 \pi n + \operatorname{asin}{\left(w \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(w \right)} + \pi$$
, where n - is a integer
substitute w:
$$\frac{1}{\sin{\left(x \right)}} = 0$$
transform
$$\frac{1}{\sin{\left(x \right)}} = 0$$
$$\frac{1}{\sin{\left(x \right)}} = 0$$
Do replacement
$$w = \sin{\left(x \right)}$$
Given the equation:
$$\frac{1}{w} = 0$$
Multiply the equation sides by the denominator w
we get:
False
Move free summands (without w)
from left part to right part, we given:
$$0 = -1$$
This equation has no roots
do backward replacement
$$\sin{\left(x \right)} = w$$
Given the equation
$$\sin{\left(x \right)} = w$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = 2 \pi n + \operatorname{asin}{\left(w \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(w \right)} + \pi$$
Or
$$x = 2 \pi n + \operatorname{asin}{\left(w \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(w \right)} + \pi$$
, where n - is a integer
substitute w: