Mister Exam
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How to use it?
- Equation:
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Equation x+19=12
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Identical expressions
- tan(x)/ three + one = zero
- tangent of (x) divide by 3 plus 1 equally 0
- tangent of (x) divide by three plus one equally zero
- tanx/3+1=0
- tan(x)/3+1=O
- tan(x) divide by 3+1=0
-
Similar expressions
- tan(x/3)+1=0
- tan(x)/3-1=0
-
What you mean?
- tan(x)/(1 + 3) = 0
- tan(x)/3 + 1 = 0
- tan(x)/(1 + 3) = 0
- tan(x)/3 + 1 = 0
- tan(x)/3 + 1 = 0
You entered:
tan(x)/3+1=0
What you mean?
tan(x)/3+1=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\frac{\tan{\left(x \right)}}{3} + 1 = 0$$
- this is the simplest trigonometric equation
We get:
$$\frac{\tan{\left(x \right)}}{3} = -1$$
The equation is transformed to
$$\tan{\left(x \right)} = -3$$
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(-3 \right)}$$
Or
$$x = \pi n - \operatorname{atan}{\left(3 \right)}$$
, where n - is a integer
$$\frac{\tan{\left(x \right)}}{3} + 1 = 0$$
- this is the simplest trigonometric equation
Move 1 to right part of the equation
with the change of sign in 1
We get:
$$\frac{\tan{\left(x \right)}}{3} = -1$$
Divide both parts of the equation by 1/3
The equation is transformed to
$$\tan{\left(x \right)} = -3$$
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(-3 \right)}$$
Or
$$x = \pi n - \operatorname{atan}{\left(3 \right)}$$
, where n - is a integer
Sum and product of roots
[src]
sum
0 - atan(3)
$$- \operatorname{atan}{\left(3 \right)} + 0$$
=
-atan(3)
$$- \operatorname{atan}{\left(3 \right)}$$
product
1*-atan(3)
$$1 \left(- \operatorname{atan}{\left(3 \right)}\right)$$
=
-atan(3)
$$- \operatorname{atan}{\left(3 \right)}$$
-atan(3)
Numerical answer
[src]
x1 = -48.3729355762452
x2 = -45.2313429226554
x3 = -29.5233796547064
x4 = -64.0808988441941
x5 = 64.7243999529874
x6 = -57.7977135370145
x7 = 14.4589174955507
x8 = -35.806564961886
x9 = 30.1668807634997
x10 = -51.5145282298349
x11 = 74.1491779137568
x12 = 52.1580293386282
x13 = 58.4412146458078
x14 = 77.2907705673466
x15 = 8.17573218837112
x16 = 89.8571411817058
x17 = 36.4500660706793
x18 = -42.0897502690656
x19 = 240.653588554016
x20 = 17.6005101491405
x21 = -26.3817870011166
x22 = -1.24904577239825
x23 = -7.53223107957784
x24 = 80.4323632209364
x25 = 23.8836954563201
x26 = -73.5056768049635
x27 = -20.098601693937
x28 = -86.0720474193227
x29 = 45.8748440314486
x30 = 96.1403264888853
x31 = 1.89254688119154
x32 = -79.7888621121431
x33 = 67.8659926065772
x34 = 42.7332513778588
x35 = 86.715548528116
x36 = -13.8154163867574
x36 = -13.8154163867574
The graph