Mister Exam
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How to use it?
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Identical expressions
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Similar expressions
- 2*sin(x)/(2-3)=0
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2*sin(x)/(2+3)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\frac{2 \sin{\left(x \right)}}{5} = 0$$
- this is the simplest trigonometric equation
We get:
$$\frac{2 \sin{\left(x \right)}}{5} = 0$$
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
$$\frac{2 \sin{\left(x \right)}}{5} = 0$$
- this is the simplest trigonometric equation
with the change of sign in 0
We get:
$$\frac{2 \sin{\left(x \right)}}{5} = 0$$
Divide both parts of the equation by 2/5
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 = -43.9822971502571
x2 = -31.4159265358979
x3 = 84.8230016469244
x4 = -91.106186954104
x5 = -97.3893722612836
x6 = 91.106186954104
x7 = 6.28318530717959
x8 = -72.2566310325652
x9 = -47.1238898038469
x10 = -113.097335529233
x11 = 94.2477796076938
x12 = 50.2654824574367
x13 = 56.5486677646163
x14 = 43.9822971502571
x15 = 47.1238898038469
x16 = -50.2654824574367
x17 = 37.6991118430775
x18 = -28.2743338823081
x19 = 65.9734457253857
x20 = 15.707963267949
x21 = 28.2743338823081
x22 = -62.8318530717959
x23 = 40.8407044966673
x24 = -40.8407044966673
x25 = -6.28318530717959
x26 = -81.6814089933346
x27 = -15.707963267949
x28 = -59.6902604182061
x29 = 72.2566310325652
x30 = 3.14159265358979
x31 = -25.1327412287183
x32 = 21.9911485751286
x33 = -75.398223686155
x34 = -56.5486677646163
x35 = -267.035375555132
x36 = -69.1150383789755
x37 = -84.8230016469244
x38 = 78.5398163397448
x39 = 9.42477796076938
x40 = -232.477856365645
x41 = -53.4070751110265
x42 = 62.8318530717959
x43 = -18.8495559215388
x44 = 25.1327412287183
x45 = 100.530964914873
x46 = -87.9645943005142
x47 = -9.42477796076938
x48 = 75.398223686155
x49 = 81.6814089933346
x50 = 87.9645943005142
x51 = 12.5663706143592
x52 = -34.5575191894877
x53 = 69.1150383789755
x54 = -3.14159265358979
x55 = 0.0
x56 = -21.9911485751286
x57 = -37.6991118430775
x58 = 31.4159265358979
x59 = -78.5398163397448
x60 = -12.5663706143592
x61 = -94.2477796076938
x62 = 97.3893722612836
x63 = -100.530964914873
x64 = 59.6902604182061
x65 = 53.4070751110265
x66 = 34.5575191894877
x67 = -65.9734457253857
x68 = 18.8495559215388
x68 = 18.8495559215388