Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation (x-5)^2=(x+15)^2
-
Equation sin(6*x)=9/8
-
Equation arctan(sin(x))
- Equation sqrt(4×cos^2+6)+sqrt(4×sin^2+8)=6
- Express {x} in terms of y where:
- 15*x-15*y=16
- 9*x+18*y=6
- sqrt(x^2+y^2+4x-6y-12)+(x^2+10x-27)=8-|y-9|+|y-3|
- -1*x-19*y=-10
-
Identical expressions
- arctan(sin(x))
- arc tangent of ( sinus of (x))
- arctansinx
arctan(sin(x)) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
atan(sin(x)) = 0
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} = 0$$
Detail solution
Given the equation
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} = 0$$
transform
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} - 1 = 0$$
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} - 1 = 0$$
Do replacement
$$w = \operatorname{atan}{\left(\sin{\left(x \right)} \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = 1$$
We get the answer: w = 1
do backward replacement
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} = w$$
substitute w:
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} = 0$$
transform
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} - 1 = 0$$
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} - 1 = 0$$
Do replacement
$$w = \operatorname{atan}{\left(\sin{\left(x \right)} \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = 1$$
We get the answer: w = 1
do backward replacement
$$\operatorname{atan}{\left(\sin{\left(x \right)} \right)} = w$$
substitute w:
Sum and product of roots
[src]
sum
0 + 0 + pi
$$\left(0 + 0\right) + \pi$$
=
pi
$$\pi$$
product
1*0*pi
$$1 \cdot 0 \pi$$
=
0
$$0$$
0
Numerical answer
[src]
x1 = -47.1238898038469
x2 = 31.4159265358979
x3 = -72.2566310325652
x4 = -21.9911485751286
x5 = -50.2654824574367
x6 = 94.2477796076938
x7 = 84.8230016469244
x8 = 6.28318530717959
x9 = 25.1327412287183
x10 = 53.4070751110265
x11 = -59.6902604182061
x12 = -9.42477796076938
x13 = 72.2566310325652
x14 = 69.1150383789755
x15 = -6.28318530717959
x16 = -12.5663706143592
x17 = 0.0
x18 = -78.5398163397448
x19 = 78.5398163397448
x20 = 56.5486677646163
x21 = 34.5575191894877
x22 = -94.2477796076938
x23 = 87.9645943005142
x24 = 65.9734457253857
x25 = -87.9645943005142
x26 = -119.380520836412
x27 = -37.6991118430775
x28 = -43.9822971502571
x29 = 91.106186954104
x30 = 389.557489045134
x31 = -3.14159265358979
x32 = -56.5486677646163
x33 = -34.5575191894877
x34 = 47.1238898038469
x35 = 9.42477796076938
x36 = -25.1327412287183
x37 = -53.4070751110265
x38 = 21.9911485751286
x39 = 40.8407044966673
x40 = 3.14159265358979
x41 = 43.9822971502571
x42 = 62.8318530717959
x43 = -91.106186954104
x44 = 12.5663706143592
x45 = 103.672557568463
x46 = 37.6991118430775
x47 = 81.6814089933346
x48 = -28.2743338823081
x49 = -65.9734457253857
x50 = -131.946891450771
x51 = 28.2743338823081
x52 = 97.3893722612836
x53 = -31.4159265358979
x54 = 706.858347057703
x55 = 59.6902604182061
x56 = -75.398223686155
x57 = 5274.73406537726
x58 = -100.530964914873
x59 = 18.8495559215388
x60 = -84.8230016469244
x61 = 75.398223686155
x62 = 50.2654824574367
x63 = -59784.5081978138
x64 = 100.530964914873
x65 = -15.707963267949
x66 = 15.707963267949
x67 = -97.3893722612836
x68 = -69.1150383789755
x69 = -40.8407044966673
x70 = -81.6814089933346
x71 = -62.8318530717959
x72 = -18.8495559215388
x73 = 182.212373908208
x73 = 182.212373908208
The graph