Mister Exam
Other calculators
-
How to use it?
- Equation:
- Equation 3*x^2-48=0
-
Equation x^3+4*x^2-9*x-36=0
-
Equation x^4=1
-
Equation 4(x-1)=2(2x-8)+12
- Express {x} in terms of y where:
- 4*x+13*y=8
- 14*x+17*y=19
- 3*x-11*y=20
- -18*x-13*y=2
- Integral of d{x}:
-
sen
- Derivative of:
-
sen
- Sum of series:
- sen
-
Identical expressions
- sen
sen equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\sin{\left(x \right)} = 0$$
- this is the simplest trigonometric equation
We get:
$$\sin{\left(x \right)} = 0$$
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
$$\sin{\left(x \right)} = 0$$
- this is the simplest trigonometric equation
with the change of sign in 0
We get:
$$\sin{\left(x \right)} = 0$$
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 = -43.9822971502571
x2 = -31.4159265358979
x3 = 84.8230016469244
x4 = -91.106186954104
x5 = -97.3893722612836
x6 = 91.106186954104
x7 = 6.28318530717959
x8 = -72.2566310325652
x9 = -2642.07942166902
x10 = -47.1238898038469
x11 = -113.097335529233
x12 = 94.2477796076938
x13 = 50.2654824574367
x14 = 56.5486677646163
x15 = 43.9822971502571
x16 = 47.1238898038469
x17 = -50.2654824574367
x18 = 37.6991118430775
x19 = -28.2743338823081
x20 = 65.9734457253857
x21 = 15.707963267949
x22 = 28.2743338823081
x23 = -62.8318530717959
x24 = 40.8407044966673
x25 = -40.8407044966673
x26 = -6.28318530717959
x27 = -81.6814089933346
x28 = -15.707963267949
x29 = -59.6902604182061
x30 = 72.2566310325652
x31 = 3.14159265358979
x32 = -25.1327412287183
x33 = 21.9911485751286
x34 = -75.398223686155
x35 = -56.5486677646163
x36 = -267.035375555132
x37 = -69.1150383789755
x38 = -84.8230016469244
x39 = 78.5398163397448
x40 = 9.42477796076938
x41 = -232.477856365645
x42 = -53.4070751110265
x43 = 62.8318530717959
x44 = -18.8495559215388
x45 = 25.1327412287183
x46 = 100.530964914873
x47 = -87.9645943005142
x48 = -9.42477796076938
x49 = 75.398223686155
x50 = 81.6814089933346
x51 = 87.9645943005142
x52 = 12.5663706143592
x53 = -34.5575191894877
x54 = 69.1150383789755
x55 = -3.14159265358979
x56 = 0.0
x57 = -21.9911485751286
x58 = -37.6991118430775
x59 = 31.4159265358979
x60 = -78.5398163397448
x61 = -12.5663706143592
x62 = -94.2477796076938
x63 = 97.3893722612836
x64 = -100.530964914873
x65 = 59.6902604182061
x66 = 53.4070751110265
x67 = 34.5575191894877
x68 = -65.9734457253857
x69 = 18.8495559215388
x69 = 18.8495559215388