Mister Exam

Other calculators


tan(x)=3

tan(x)=3 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) = 3
$$\tan{\left(x \right)} = 3$$
Detail solution
Given the equation
$$\tan{\left(x \right)} = 3$$
- this is the simplest trigonometric equation
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
The graph
Sum and product of roots [src]
sum
atan(3)
$$\operatorname{atan}{\left(3 \right)}$$
=
atan(3)
$$\operatorname{atan}{\left(3 \right)}$$
product
atan(3)
$$\operatorname{atan}{\left(3 \right)}$$
=
atan(3)
$$\operatorname{atan}{\left(3 \right)}$$
atan(3)
Rapid solution [src]
x1 = atan(3)
$$x_{1} = \operatorname{atan}{\left(3 \right)}$$
x1 = atan(3)
Numerical answer [src]
x1 = -30.1668807634997
x2 = 7.53223107957784
x3 = 20.098601693937
x4 = -80.4323632209364
x5 = -61.5828072993976
x6 = 38.9481576154758
x7 = 48.3729355762452
x8 = -52.1580293386282
x9 = 4.39063842598805
x10 = -99.2819191424751
x11 = -67.8659926065772
x12 = 70.3640841513737
x13 = 95.496825380092
x14 = -45.8748440314486
x15 = 26.3817870011166
x16 = -136.981030985553
x17 = -17.6005101491405
x18 = -89.8571411817058
x19 = -8.17573218837112
x20 = -74.1491779137568
x21 = -1.89254688119154
x22 = -96.1403264888853
x23 = 86.0720474193227
x24 = -36.4500660706793
x25 = 13.8154163867574
x26 = 92.3552327265023
x27 = 42.0897502690656
x28 = -83.5739558745262
x29 = -23.8836954563201
x30 = 64.0808988441941
x31 = -14.4589174955507
x32 = 35.806564961886
x33 = -39.5916587242691
x33 = -39.5916587242691
The graph
tan(x)=3 equation