Mister Exam

tgx=0 equation

The teacher will be very surprised to see your correct solution 😉

v

Numerical solution:

Do search numerical solution at [, ]

The solution

You have entered [src]
tan(x) = 0
$$\tan{\left(x \right)} = 0$$
Detail solution
Given the equation
$$\tan{\left(x \right)} = 0$$
- this is the simplest trigonometric equation
with the change of sign in 0

We get:
$$\tan{\left(x \right)} = 0$$
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(0 \right)}$$
Or
$$x = \pi n$$
, where n - is a integer
The graph
Sum and product of roots [src]
sum
0 + 0
$$0 + 0$$
=
0
$$0$$
product
1*0
$$1 \cdot 0$$
=
0
$$0$$
0
Rapid solution [src]
x1 = 0
$$x_{1} = 0$$
Numerical answer [src]
x1 = 72.2566310325652
x2 = 94.2477796076938
x3 = -3.14159265358979
x4 = 40.8407044966673
x5 = -91.106186954104
x6 = -15.707963267949
x7 = -37.6991118430775
x8 = -31.4159265358979
x9 = -81.6814089933346
x10 = 6.28318530717959
x11 = 62.8318530717959
x12 = 53.4070751110265
x13 = 81.6814089933346
x14 = 100.530964914873
x15 = 50.2654824574367
x16 = 84.8230016469244
x17 = -47.1238898038469
x18 = -56.5486677646163
x19 = -53.4070751110265
x20 = 3.14159265358979
x21 = 25.1327412287183
x22 = -9.42477796076938
x23 = -87.9645943005142
x24 = 15.707963267949
x25 = 91.106186954104
x26 = 97.3893722612836
x27 = 78.5398163397448
x28 = 9.42477796076938
x29 = -6.28318530717959
x30 = 75.398223686155
x31 = 12.5663706143592
x32 = 56.5486677646163
x33 = -12.5663706143592
x34 = -34.5575191894877
x35 = -28.2743338823081
x36 = 18.8495559215388
x37 = -78.5398163397448
x38 = -94.2477796076938
x39 = -25.1327412287183
x40 = 59.6902604182061
x41 = -21.9911485751286
x42 = -72.2566310325652
x43 = -75.398223686155
x44 = 31.4159265358979
x45 = 43.9822971502571
x46 = 28.2743338823081
x47 = -40.8407044966673
x48 = -50.2654824574367
x49 = 47.1238898038469
x50 = -84.8230016469244
x51 = -97.3893722612836
x52 = -43.9822971502571
x53 = 69.1150383789755
x54 = -18.8495559215388
x55 = 65.9734457253857
x56 = -65.9734457253857
x57 = 34.5575191894877
x58 = 0.0
x59 = -59.6902604182061
x60 = -62.8318530717959
x61 = 21.9911485751286
x62 = 87.9645943005142
x63 = 37.6991118430775
x64 = -100.530964914873
x65 = -69.1150383789755
x65 = -69.1150383789755
The graph
tgx=0 equation