Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation 19+x=4(x-3)+7
-
Equation 5x^2=-80+40x
- Equation ((8z-1)/5)-((3z+3)/4)=((50-2z)/9)+1
- Equation y^n+y=2*cos(3x)-3*sin(3x)
- Express {x} in terms of y where:
- 17*x-19*y=1
- -1*x+19*y=-10
- 4*x+13*y=13
- -16*x+14*y=-9
- Graphing y =:
-
tan(x)
- Derivative of:
-
tan(x)
- Integral of d{x}:
-
tan(x)
-
Identical expressions
- tan(x)= zero , four hundred and sixteen
- tangent of (x) equally 0,416
- tangent of (x) equally zero , four hundred and sixteen
- tanx=0,416
- tan(x)=O,416
-
Similar expressions
- 1,63*(5,2-x)=0,4*16,3
- tan(x-pi/4)=(-1)/sqrt(3)
tan(x)=0,416 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = \frac{52}{125}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{52}{125} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{52}{125} \right)}$$
, where n - is a integer
$$\tan{\left(x \right)} = \frac{52}{125}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{52}{125} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{52}{125} \right)}$$
, where n - is a integer
Sum and product of roots
[src]
sum
/ 52\
atan|---|
\125/
$$\operatorname{atan}{\left(\frac{52}{125} \right)}$$
=
/ 52\
atan|---|
\125/
$$\operatorname{atan}{\left(\frac{52}{125} \right)}$$
product
/ 52\
atan|---|
\125/
$$\operatorname{atan}{\left(\frac{52}{125} \right)}$$
=
/ 52\
atan|---|
\125/
$$\operatorname{atan}{\left(\frac{52}{125} \right)}$$
atan(52/125)
Rapid solution
[src]
/ 52\
x1 = atan|---|
\125/
$$x_{1} = \operatorname{atan}{\left(\frac{52}{125} \right)}$$
x1 = atan(52/125)
Numerical answer
[src]
x1 = -75.0040007482123
x2 = 69.5092613169182
x3 = -81.2871860553919
x4 = 44.3765200881998
x5 = -56.1544448266736
x6 = -93.8535566697511
x7 = 88.3588172384569
x8 = 94.6420025456365
x9 = -37.3048889051348
x10 = 56.942890702559
x11 = 41.23492743461
x12 = -27.8801109443654
x13 = 82.0756319312773
x14 = -2.74736971564707
x15 = -78.1455934018021
x16 = 66.3676686633284
x17 = -100.136741976931
x18 = 22.3853715130713
x19 = 28.6685568202509
x20 = -31.0217035979552
x21 = -34.163296251545
x22 = 3.53581559153251
x23 = 31.8101494738407
x24 = -59.2960374802634
x25 = 75.7924466240978
x26 = 53.8012980489692
x27 = 9.8190008987121
x28 = 78.9340392776875
x29 = -12.1721476764165
x30 = -9.03055502282666
x31 = 63.2260760097386
x32 = -21.5969256371858
x33 = 38.0933347810202
x34 = -96.9951493233409
x35 = 12.9605935523019
x36 = 16.1021862058917
x37 = 34.9517421274304
x38 = 6.67740824512231
x39 = -49.871259519494
x40 = -53.0128521730838
x41 = 91.5004098920467
x42 = -18.455332983596
x43 = 100.925187852816
x44 = 60.0844833561488
x45 = -43.5880742123144
x46 = 72.650853970508
x47 = -62.4376301338531
x48 = -15.3137403300062
x49 = -5.88896236923686
x50 = -90.7119640161613
x51 = 25.5269641666611
x52 = -24.7385182907756
x53 = -84.4287787089817
x54 = 97.7835951992263
x55 = -68.7208154410327
x56 = -71.8624080946225
x57 = -40.4464815587246
x58 = 85.2172245848671
x59 = 50.6597053953794
x60 = 0.394222937942722
x61 = -87.5703713625715
x62 = -65.5792227874429
x63 = -46.7296668659042
x64 = 47.5181127417896
x65 = 19.2437788594815
x65 = 19.2437788594815