Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 2x-3=10
-
Equation 2*sin(x)=0
-
Equation 4*x=-12
-
Equation x^4-x^2+1=0
- Express {x} in terms of y where:
- -12*x-6*y=-3
- -7*x-11*y=18
- -13*x+8*y=-18
- -13*x+3*y=-4
- Derivative of:
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2*sin(x)
- Integral of d{x}:
- 2*sin(x)
- Limit of the function:
-
2*sin(x)
-
Identical expressions
- two *sin(x)= zero
- 2 multiply by sinus of (x) equally 0
- two multiply by sinus of (x) equally zero
- 2sin(x)=0
- 2sinx=0
- 2*sin(x)=O
-
Similar expressions
- (1/((cos(x))^3+(sin(x))^3))^2+2*((3cos(x)sin(x)((cos(x)-sin(x))))/((cos(x))^3+(sin(x))^3))^2-3((sin(x))^6+(cos(x))^6-2(sin(x))(cos(x))^5+4(sin(x))^2(cos(x))^4-10(sin(x))^3(cos(x))^3+4(sin(x))^4(cos(x))^2-2(sin(x))^5(cos(x)))/((cos(x))^3+(sin(x))^3)^3=0
- 2*sinx=0
2*sin(x)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$2 \sin{\left(x \right)} = 0$$
- this is the simplest trigonometric equation
We get:
$$2 \sin{\left(x \right)} = 0$$
The equation is transformed to
$$\sin{\left(x \right)} = 0$$
This equation is transformed to
$$x = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
Or
$$x = 2 \pi n$$
$$x = 2 \pi n + \pi$$
, where n - is a integer
$$2 \sin{\left(x \right)} = 0$$
- this is the simplest trigonometric equation
with the change of sign in 0
We get:
$$2 \sin{\left(x \right)} = 0$$
Divide both parts of the equation by 2
The equation is transformed to
$$\sin{\left(x \right)} = 0$$
This equation is transformed to
$$x = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$x = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
Or
$$x = 2 \pi n$$
$$x = 2 \pi n + \pi$$
, where n - is a integer
Numerical answer
[src]
x1 = 59.6902604182061
x2 = -100.530964914873
x3 = -15.707963267949
x4 = -267.035375555132
x5 = 84.8230016469244
x6 = 0.0
x7 = -25.1327412287183
x8 = -75.398223686155
x9 = -50.2654824574367
x10 = 97.3893722612836
x11 = 81.6814089933346
x12 = -72.2566310325652
x13 = 91.106186954104
x14 = 50.2654824574367
x15 = -43.9822971502571
x16 = -37.6991118430775
x17 = 25.1327412287183
x18 = -2642.07942166902
x19 = -65.9734457253857
x20 = -53.4070751110265
x21 = -18.8495559215388
x22 = -59.6902604182061
x23 = 15.707963267949
x24 = 9.42477796076938
x25 = 18.8495559215388
x26 = -56.5486677646163
x27 = -232.477856365645
x28 = -6.28318530717959
x29 = -62.8318530717959
x30 = 12.5663706143592
x31 = 56.5486677646163
x32 = 40.8407044966673
x33 = 3.14159265358979
x34 = -21.9911485751286
x35 = -84.8230016469244
x36 = 6.28318530717959
x37 = 69.1150383789755
x38 = 72.2566310325652
x39 = -78.5398163397448
x40 = 37.6991118430775
x41 = 21.9911485751286
x42 = 47.1238898038469
x43 = 34.5575191894877
x44 = -97.3893722612836
x45 = -31.4159265358979
x46 = 100.530964914873
x47 = -47.1238898038469
x48 = 28.2743338823081
x49 = 94.2477796076938
x50 = -40.8407044966673
x51 = -12.5663706143592
x52 = -34.5575191894877
x53 = -28.2743338823081
x54 = 78.5398163397448
x55 = -94.2477796076938
x56 = -91.106186954104
x57 = 43.9822971502571
x58 = 75.398223686155
x59 = 62.8318530717959
x60 = -3.14159265358979
x61 = 87.9645943005142
x62 = 53.4070751110265
x63 = -113.097335529233
x64 = -81.6814089933346
x65 = -87.9645943005142
x66 = 65.9734457253857
x67 = -69.1150383789755
x68 = 31.4159265358979
x69 = -9.42477796076938
x69 = -9.42477796076938
The graph